Solve (2/5f 12)-(3/10f-9)

Question

Simplify the expression

\frac{9}{2} f + 9

Evaluate

(\frac{2}{5} f \times 12) - (\frac{3}{10} f - 9)

Multiply the terms

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Multiply the terms

\frac{2}{5} f \times 12

Multiply the terms

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Evaluate

\frac{2}{5} \times 12

Multiply the numbers

\frac{2 \times 12}{5}

Multiply the numbers

\frac{24}{5}

\frac{24}{5} f

\frac{24}{5} f - (\frac{3}{10} f - 9)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{24}{5} f - \frac{3}{10} f + 9

Solution

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Evaluate

\frac{24}{5} f - \frac{3}{10} f

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

(\frac{24}{5} - \frac{3}{10}) f

Subtract the numbers

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Evaluate

\frac{24}{5} - \frac{3}{10}

Reduce fractions to a common denominator

\frac{24 \times 2}{5 \times 2} - \frac{3}{10}

Multiply the numbers

\frac{24 \times 2}{10} - \frac{3}{10}

Write all numerators above the common denominator

\frac{24 \times 2 - 3}{10}

Multiply the numbers

\frac{48 - 3}{10}

Subtract the numbers

\frac{45}{10}

Cancel out the common factor 5

\frac{9}{2}

\frac{9}{2} f

\frac{9}{2} f + 9

Show Solution

Factor the expression

\frac{9}{2} (f + 2)

Evaluate

(\frac{2}{5} f \times 12) - (\frac{3}{10} f - 9)

Multiply the terms

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Multiply the terms

\frac{2}{5} f \times 12

Multiply the terms

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Evaluate

\frac{2}{5} \times 12

Multiply the numbers

\frac{2 \times 12}{5}

Multiply the numbers

\frac{24}{5}

\frac{24}{5} f

\frac{24}{5} f - (\frac{3}{10} f - 9)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{24}{5} f - \frac{3}{10} f + 9

Subtract the terms

More Steps

Evaluate

\frac{24}{5} f - \frac{3}{10} f

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

(\frac{24}{5} - \frac{3}{10}) f

Subtract the numbers

More Steps

Evaluate

\frac{24}{5} - \frac{3}{10}

Reduce fractions to a common denominator

\frac{24 \times 2}{5 \times 2} - \frac{3}{10}

Multiply the numbers

\frac{24 \times 2}{10} - \frac{3}{10}

Write all numerators above the common denominator

\frac{24 \times 2 - 3}{10}

Multiply the numbers

\frac{48 - 3}{10}

Subtract the numbers

\frac{45}{10}

Cancel out the common factor 5

\frac{9}{2}

\frac{9}{2} f

\frac{9}{2} f + 9

Solution

\frac{9}{2} (f + 2)

Show Solution

Find the roots

f = - 2

Evaluate

(\frac{2}{5} f \times 12) - (\frac{3}{10} f - 9)

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

(\frac{2}{5} f \times 12) - (\frac{3}{10} f - 9) = 0

Multiply the terms

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Multiply the terms

\frac{2}{5} f \times 12

Multiply the terms

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Evaluate

\frac{2}{5} \times 12

Multiply the numbers

\frac{2 \times 12}{5}

Multiply the numbers

\frac{24}{5}

\frac{24}{5} f

\frac{24}{5} f - (\frac{3}{10} f - 9) = 0

Subtract the terms

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Simplify

\frac{24}{5} f - (\frac{3}{10} f - 9)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{24}{5} f - \frac{3}{10} f + 9

Subtract the terms

More Steps

Evaluate

\frac{24}{5} f - \frac{3}{10} f

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

(\frac{24}{5} - \frac{3}{10}) f

Subtract the numbers

\frac{9}{2} f

\frac{9}{2} f + 9

\frac{9}{2} f + 9 = 0

Move the constant to the right-hand side and change its sign

\frac{9}{2} f = 0 - 9

Removing 0 doesn't change the value,so remove it from the expression

\frac{9}{2} f = - 9

Multiply by the reciprocal

\frac{9}{2} f \times \frac{2}{9} = - 9 \times \frac{2}{9}

Multiply

f = - 9 \times \frac{2}{9}

Solution

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Evaluate

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

Reduce the numbers

- 1 \times 2

Simplify

- 2

f = - 2

Show Solution