### 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. $\frac{2}{3}\left(15u-6\right)=14u$

Distribute before simplifying.

$\begin{array}{l} 10u-4=14u \\ -4=4u \\ u=-1 \end{array}$

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

Use the Zero Product Property.

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

1. $2\left(k-5\right)^2=32$

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 $1$