Solve (0,3 4/5)*x 1/2-3/4 1/2x(2/9-3)

Question

Simplify the expression

\frac{697}{600} x

Evaluate

(0, 3 \times \frac{4}{5}) x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (\frac{2}{9} - 3)

Remove the parentheses

0, 3 \times \frac{4}{5} x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (\frac{2}{9} - 3)

Subtract the numbers

More Steps

Simplify

\frac{2}{9} - 3

Reduce fractions to a common denominator

\frac{2}{9} - \frac{3 \times 9}{9}

Write all numerators above the common denominator

\frac{2 - 3 \times 9}{9}

Multiply the numbers

\frac{2 - 27}{9}

Subtract the numbers

\frac{- 25}{9}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{25}{9}

0, 3 \times \frac{4}{5} x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (- \frac{25}{9})

Multiply the terms

More Steps

Multiply the terms

0, 3 \times \frac{4}{5} x \times \frac{1}{2}

Multiply the terms

More Steps

Evaluate

0, 3 \times \frac{4}{5} \times \frac{1}{2}

Multiply the terms

\frac{6}{25} \times \frac{1}{2}

Reduce the numbers

\frac{3}{25} \times 1

Multiply the numbers

\frac{3}{25}

\frac{3}{25} x

\frac{3}{25} x - \frac{3}{4} \times \frac{1}{2} x (- \frac{25}{9})

Multiply

More Steps

Multiply the terms

\frac{3}{4} \times \frac{1}{2} x (- \frac{25}{9})

Rewrite the expression

- \frac{3}{4} \times \frac{1}{2} x \times \frac{25}{9}

Multiply the terms

More Steps

Evaluate

\frac{3}{4} \times \frac{1}{2} \times \frac{25}{9}

Multiply the terms

\frac{3}{8} \times \frac{25}{9}

Reduce the numbers

\frac{1}{8} \times \frac{25}{3}

To multiply the fractions,multiply the numerators and denominators separately

\frac{25}{8 \times 3}

Multiply the numbers

\frac{25}{24}

- \frac{25}{24} x

\frac{3}{25} x - (- \frac{25}{24} x)

Rewrite the expression

\frac{3}{25} x + \frac{25}{24} x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{3}{25} + \frac{25}{24}) x

Solution

More Steps

Evaluate

\frac{3}{25} + \frac{25}{24}

Reduce fractions to a common denominator

\frac{3 \times 24}{25 \times 24} + \frac{25 \times 25}{24 \times 25}

Multiply the numbers

\frac{3 \times 24}{600} + \frac{25 \times 25}{24 \times 25}

Multiply the numbers

\frac{3 \times 24}{600} + \frac{25 \times 25}{600}

Write all numerators above the common denominator

\frac{3 \times 24 + 25 \times 25}{600}

Multiply the numbers

\frac{72 + 25 \times 25}{600}

Multiply the numbers

\frac{72 + 625}{600}

Add the numbers

\frac{697}{600}

\frac{697}{600} x

Show Solution

Find the roots

x = 0

Evaluate

(0, 3 \times \frac{4}{5}) x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (\frac{2}{9} - 3)

To find the roots of the expression,set the expression equal to 0

(0, 3 \times \frac{4}{5}) x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (\frac{2}{9} - 3) = 0

Solution

More Steps

Evaluate

(0.3 \times \frac{4}{5}) x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (\frac{2}{9} - 3) = 0

Multiply the numbers

More Steps

Evaluate

0.3 \times \frac{4}{5}

Convert the decimal into a fraction

\frac{3}{10} \times \frac{4}{5}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3 \times 4}{10 \times 5}

Multiply the terms

\frac{12}{10 \times 5}

Multiply the terms

\frac{12}{50}

Reduce the fraction

\frac{6}{25}

\frac{6}{25} x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (\frac{2}{9} - 3) = 0

Subtract the numbers

More Steps

Simplify

\frac{2}{9} - 3

Reduce fractions to a common denominator

\frac{2}{9} - \frac{3 \times 9}{9}

Write all numerators above the common denominator

\frac{2 - 3 \times 9}{9}

Multiply the numbers

\frac{2 - 27}{9}

Subtract the numbers

\frac{- 25}{9}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{25}{9}

\frac{6}{25} x \times \frac{1}{2} - \frac{3}{4} \times \frac{1}{2} x (- \frac{25}{9}) = 0

Multiply the terms

\frac{3}{25} x - \frac{3}{4} \times \frac{1}{2} x (- \frac{25}{9}) = 0

Multiply

More Steps

Multiply the terms

\frac{3}{4} \times \frac{1}{2} x (- \frac{25}{9})

Rewrite the expression

- \frac{3}{4} \times \frac{1}{2} x \times \frac{25}{9}

Multiply the terms

- \frac{25}{24} x

\frac{3}{25} x - (- \frac{25}{24} x) = 0

Subtract the terms

More Steps

Simplify

\frac{3}{25} x - (- \frac{25}{24} x)

Rewrite the expression

\frac{3}{25} x + \frac{25}{24} x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{3}{25} + \frac{25}{24}) x

Add the numbers

\frac{697}{600} x

\frac{697}{600} x = 0

Rewrite the expression

x = 0

x = 0

Show Solution