### Home > CAAC > Chapter 10 > Lesson 10.3.2 > Problem10-116

10-116.

Multiply the equation by a common multiple of the denominators to remove the fractions.

$45\left(\frac{3}{9}-\frac{x}{3}=\frac{x}{5}\right)$

15 − 15x = 9x

Solve for x.

$\frac{5}{8} = x$

Find the boundary point.
(3 + x)² = 9

Take the square root of both sides.
3 + x = ± 3

Solve for x.

Test numbers on all sides of the boundary points.

(3 + (−7))2 < 9 (3 + (−1))2 < 9 (3 + (1))2 < 9
(−4)2 < 9 22 < 9 42 < 9
16 < 9 4 < 9 16 < 9
False True False

Divide both sides by 8.

The absolute value of what two numbers equals 8?

Follow the steps in part (b).

Subtract 11 from both sides.

Square both sides.

Subtract 3 from both sides.

Follow the steps in part (a).

A common multiple of x and 8 is 8x.

Follow the steps in part (c).