### Home > CCG > Chapter 12 > Lesson 12.1.2 > Problem12-29

12-29.

Solve each equation below for the given variable. Check your solution by verifying that your solution makes the original equation true.

1. $\frac { 2 } { 3 }(15u – 6) = 14u$

Distribute before simplifying.

$10u − 4 = 14u$
$− 4 = 4u$
$u = − 1$

1. $(5 - x)(3x + 8) = 0$

Use the Zero Product Property.

$x=5, - \frac{ 8 }{3 }$

1. $2(k – 5)^2 = 32$

Divide by two first and be sure to find both answers.

$k = 1$ or $9$

1. $2p^2 + 7p - 9 = 0$

If you cannot factor, then use the quadratic formula.

$\frac{ -7\pm \sqrt{ (7)^{2}-4(2)(-9) } }{4(2) } = \frac{-7 \pm \sqrt{121}}{8}$

$p = −4.5$ or $1$