Basic Math Examples

$50 = y \cdot 90^{2}$

Step 1

Rewrite the equation as $y \cdot 90^{2} = 50$ .

$y \cdot 90^{2} = 50$

Step 2

Divide each term in $y \cdot 90^{2} = 50$ by $90^{2}$ and simplify.

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Step 2.1

Divide each term in $y \cdot 90^{2} = 50$ by $90^{2}$ .

$\frac{y \cdot 90^{2}}{90^{2}} = \frac{50}{90^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $90^{2}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{y \cdot 90^{2}}{90^{2}} = \frac{50}{90^{2}}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{50}{90^{2}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $90$ to the power of $2$ .

$y = \frac{50}{8100}$

Step 2.3.2

Cancel the common factor of $50$ and $8100$ .

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Step 2.3.2.1

Factor $50$ out of $50$ .

$y = \frac{50 (1)}{8100}$

Step 2.3.2.2

Cancel the common factors.

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Step 2.3.2.2.1

Factor $50$ out of $8100$ .

$y = \frac{50 \cdot 1}{50 \cdot 162}$

Step 2.3.2.2.2

Cancel the common factor.

$y = \frac{50 \cdot 1}{50 \cdot 162}$

Step 2.3.2.2.3

Rewrite the expression.

$y = \frac{1}{162}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{162}$

Decimal Form:

$y = 0.00617283 \dots$