Pre-Algebra Examples

$32 - 2 {(5 - 2)}^{2} = 45 x$

Step 1

Rewrite the equation as $45 x = 32 - 2 {(5 - 2)}^{2}$ .

$45 x = 32 - 2 {(5 - 2)}^{2}$

Step 2

Simplify.

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Step 2.1

Subtract $2$ from $5$ .

$45 x = 32 - 2 \cdot 3^{2}$

Step 2.2

Raise $3$ to the power of $2$ .

$45 x = 32 - 2 \cdot 9$

Step 2.3

Multiply $- 2$ by $9$ .

$45 x = 32 - 18$

Step 2.4

Subtract $18$ from $32$ .

$45 x = 14$

Step 3

Divide each term in $45 x = 14$ by $45$ and simplify.

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Step 3.1

Divide each term in $45 x = 14$ by $45$ .

$\frac{45 x}{45} = \frac{14}{45}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $45$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{45 x}{45} = \frac{14}{45}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{14}{45}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{14}{45}$

Decimal Form:

$x = 0.3\overline{1}$