Finite Math Examples

$13 = 90 \cdot x \cdot \frac{140}{360}$

Step 1

Rewrite the equation as $90 \cdot x \cdot \frac{140}{360} = 13$ .

$90 \cdot x \cdot \frac{140}{360} = 13$

Step 2

Simplify $90 \cdot x \cdot \frac{140}{360}$ .

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Step 2.1

Cancel the common factor of $90$ .

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Step 2.1.1

Factor $90$ out of $90 \cdot x$ .

$90 (x) \cdot \frac{140}{360} = 13$

Step 2.1.2

Factor $90$ out of $360$ .

$90 (x) \cdot \frac{140}{90 (4)} = 13$

Step 2.1.3

Cancel the common factor.

$90 x \cdot \frac{140}{90 \cdot 4} = 13$

Step 2.1.4

Rewrite the expression.

$x \cdot \frac{140}{4} = 13$

$x \cdot \frac{140}{4} = 13$

Step 2.2

Combine $x$ and $\frac{140}{4}$ .

$\frac{x \cdot 140}{4} = 13$

Step 2.3

Cancel the common factor of $140$ and $4$ .

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Step 2.3.1

Factor $4$ out of $x \cdot 140$ .

$\frac{4 (x \cdot 35)}{4} = 13$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $4$ out of $4$ .

$\frac{4 (x \cdot 35)}{4 (1)} = 13$

Step 2.3.2.2

Cancel the common factor.

$\frac{4 (x \cdot 35)}{4 \cdot 1} = 13$

Step 2.3.2.3

Rewrite the expression.

$\frac{x \cdot 35}{1} = 13$

Step 2.3.2.4

Divide $x \cdot 35$ by $1$ .

$x \cdot 35 = 13$

$x \cdot 35 = 13$

$x \cdot 35 = 13$

Step 2.4

Move $35$ to the left of $x$ .

$35 x = 13$

$35 x = 13$

Step 3

Divide each term in $35 x = 13$ by $35$ and simplify.

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Step 3.1

Divide each term in $35 x = 13$ by $35$ .

$\frac{35 x}{35} = \frac{13}{35}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $35$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{35 x}{35} = \frac{13}{35}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{13}{35}$

$x = \frac{13}{35}$

$x = \frac{13}{35}$

$x = \frac{13}{35}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{35}$

Decimal Form:

$x = 0.3\overline{714285}$

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