CPM Homework Help : CCG Problem 12-29

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Home > CCG > Chapter 12 > Lesson 12.1.2 > Problem 12-29

12-29.

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

$\frac{2}{3}\left(15u-6\right)=14u$
Hint (a):
Distribute before simplifying.
Answer (a):
$\begin{array}{l} 10u-4=14u \\ -4=4u \\ u=-1 \end{array}$

$\left(5-x\right)\left(3x+8\right)=0$
Hint (b):
Use the Zero Product Property.
Answer (b):
$x=5$ , $-\frac{8}{3}$

$2\left(k-5\right)^2=32$
Hint (c):
Divide by two first and be sure to find both answers.
Answer (c):
$k = 1$ or $9$

$2p^2+7p-9=0$
Hint (d):
If you cannot factor, then use the quadratic formula.
Answer (d):
$\frac{-7\pm\sqrt{(7)^2-4(2)(-9)}}{4(2)}=\frac{-7\pm\sqrt{121}}{8}$
$p=-4.5$ or $1$

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