Solve 1 1/2 1/2x = x

Question

Solve the equation

x = 0

Evaluate

1 \frac{1}{2} \times \frac{1}{2} x = x

Simplify

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Evaluate

1 \frac{1}{2} \times \frac{1}{2} x

Covert the mixed number to an improper fraction

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Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

\frac{3}{2} \times \frac{1}{2} x

Multiply the terms

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Evaluate

\frac{3}{2} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{2 \times 2}

Multiply the numbers

\frac{3}{4}

\frac{3}{4} x

\frac{3}{4} x = x

Add or subtract both sides

\frac{3}{4} x - x = 0

Subtract the terms

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Evaluate

\frac{3}{4} x - x

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

(\frac{3}{4} - 1) x

Subtract the numbers

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Evaluate

\frac{3}{4} - 1

Reduce fractions to a common denominator

\frac{3}{4} - \frac{4}{4}

Write all numerators above the common denominator

\frac{3 - 4}{4}

Subtract the numbers

\frac{- 1}{4}

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

- \frac{1}{4}

- \frac{1}{4} x

- \frac{1}{4} x = 0

Change the signs on both sides of the equation

\frac{1}{4} x = 0

Solution

x = 0

Show Solution

Rewrite the equation

x = 0

Evaluate

1 \frac{1}{2} \times \frac{1}{2} x = x

Evaluate

More Steps

Evaluate

1 \frac{1}{2} \times \frac{1}{2} x

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

\frac{3}{2} \times \frac{1}{2} x

Multiply the terms

More Steps

Evaluate

\frac{3}{2} \times \frac{1}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{3}{2 \times 2}

Multiply the numbers

\frac{3}{4}

\frac{3}{4} x

\frac{3}{4} x = x

Multiply both sides of the equation by LCD

3 x = 4 x

Move the variable to the left side

- x = 0

Solution

x = 0

Show Solution

Solve the equation

Rewrite the equation

Graph