Finite Math Examples

$\frac{900}{10.5 + 30 x} = 50$

Step 1

Simplify $\frac{900}{10.5 + 30 x}$ .

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Step 1.1

Factor $1.5$ out of $10.5 + 30 x$ .

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Step 1.1.1

Factor $1.5$ out of $10.5$ .

$\frac{900}{1.5 (7) + 30 x} = 50$

Step 1.1.2

Factor $1.5$ out of $30 x$ .

$\frac{900}{1.5 (7) + 1.5 (20 x)} = 50$

Step 1.1.3

Factor $1.5$ out of $1.5 (7) + 1.5 (20 x)$ .

$\frac{900}{1.5 (7 + 20 x)} = 50$

Step 1.2

Factor $900$ out of $900$ .

$\frac{900 (1)}{1.5 (7 + 20 x)} = 50$

Step 1.3

Separate fractions.

$\frac{900}{1.5} \cdot \frac{1}{7 + 20 x} = 50$

Step 1.4

Divide $900$ by $1.5$ .

$600 \frac{1}{7 + 20 x} = 50$

Step 1.5

Combine $600$ and $\frac{1}{7 + 20 x}$ .

$\frac{600}{7 + 20 x} = 50$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{1}{4}$

Step 3