Algebra Examples

$- \frac{1}{4} x = \frac{5}{2}$

Step 1

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{1}{4} x) = - 4 (\frac{5}{2})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 4 (- \frac{1}{4} x)$ .

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Step 2.1.1.1

Combine $x$ and $\frac{1}{4}$ .

$- 4 (- \frac{x}{4}) = - 4 (\frac{5}{2})$

Step 2.1.1.2

Cancel the common factor of $4$ .

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Step 2.1.1.2.1

Move the leading negative in $- \frac{x}{4}$ into the numerator.

$- 4 \frac{- x}{4} = - 4 (\frac{5}{2})$

Step 2.1.1.2.2

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- x}{4} = - 4 (\frac{5}{2})$

Step 2.1.1.2.3

Cancel the common factor.

$4 \cdot - 1 \frac{- x}{4} = - 4 (\frac{5}{2})$

Step 2.1.1.2.4

Rewrite the expression.

$- - x = - 4 (\frac{5}{2})$

$- - x = - 4 (\frac{5}{2})$

Step 2.1.1.3

Multiply.

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 x = - 4 (\frac{5}{2})$

Step 2.1.1.3.2

Multiply $x$ by $1$ .

$x = - 4 (\frac{5}{2})$

$x = - 4 (\frac{5}{2})$

$x = - 4 (\frac{5}{2})$

$x = - 4 (\frac{5}{2})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 4 (\frac{5}{2})$ .

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Step 2.2.1.1

Cancel the common factor of $2$ .

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Step 2.2.1.1.1

Factor $2$ out of $- 4$ .

$x = 2 (- 2) \frac{5}{2}$

Step 2.2.1.1.2

Cancel the common factor.

$x = 2 \cdot - 2 \frac{5}{2}$

Step 2.2.1.1.3

Rewrite the expression.

$x = - 2 \cdot 5$

$x = - 2 \cdot 5$

Step 2.2.1.2

Multiply $- 2$ by $5$ .

$x = - 10$

$x = - 10$

$x = - 10$

$x = - 10$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$