Finite Math Examples

$\frac{1}{8} x^{5} - 9 + \frac{1}{4} x^{5} - 2 x - 29$

Step 1

Combine $\frac{1}{8}$ and $x^{5}$ .

$\frac{x^{5}}{8} - 9 + \frac{1}{4} x^{5} - 2 x - 29$

Step 2

Combine $\frac{1}{4}$ and $x^{5}$ .

$\frac{x^{5}}{8} - 9 + \frac{x^{5}}{4} - 2 x - 29$

Step 3

To write $\frac{x^{5}}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{x^{5}}{8} + \frac{x^{5}}{4} \cdot \frac{2}{2} - 9 - 2 x - 29$

Step 4

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{x^{5}}{4}$ by $\frac{2}{2}$ .

$\frac{x^{5}}{8} + \frac{x^{5} \cdot 2}{4 \cdot 2} - 9 - 2 x - 29$

Step 4.2

Multiply $4$ by $2$ .

$\frac{x^{5}}{8} + \frac{x^{5} \cdot 2}{8} - 9 - 2 x - 29$

Step 5

Combine the numerators over the common denominator.

$\frac{x^{5} + x^{5} \cdot 2}{8} - 9 - 2 x - 29$

Step 6

Subtract $29$ from $- 9$ .

$\frac{x^{5} + x^{5} \cdot 2}{8} - 2 x - 38$

Step 7

Reorder terms.

$- 2 x + \frac{x^{5} + x^{5} \cdot 2}{8} - 38$