Finite Math Examples

$225 = 5000 \cdot 0.06 \cdot x$

Step 1

Rewrite the equation as $5000 \cdot 0.06 \cdot x = 225$ .

$5000 \cdot 0.06 \cdot x = 225$

Step 2

Multiply $5000$ by $0.06$ .

$300 \cdot x = 225$

Step 3

Divide each term in $300 \cdot x = 225$ by $300$ and simplify.

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Step 3.1

Divide each term in $300 \cdot x = 225$ by $300$ .

$\frac{300 \cdot x}{300} = \frac{225}{300}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $300$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{300 \cdot x}{300} = \frac{225}{300}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{225}{300}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $225$ and $300$ .

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Step 3.3.1.1

Factor $75$ out of $225$ .

$x = \frac{75 (3)}{300}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $75$ out of $300$ .

$x = \frac{75 \cdot 3}{75 \cdot 4}$

Step 3.3.1.2.2

Cancel the common factor.

$x = \frac{75 \cdot 3}{75 \cdot 4}$

Step 3.3.1.2.3

Rewrite the expression.

$x = \frac{3}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{4}$

Decimal Form:

$x = 0.75$