## Algebra: A Combined Approach (4th Edition)

Published by Pearson

# Appendix B - Exercise Set - Page 981: 48

#### Answer

$x=0$ or $x=-\frac{3}{2}$

#### Work Step by Step

Step 1: Not needed as there are no fractions. Step 2: Not needed as there are no parentheses. Step 3: Not needed as no simplification necessary. Step 4: The equation $4x(2x+3)=0$ is quadratic. Step 5: Not needed as the equation is already factored. Step 6: Not needed as the equation is already factored. Step 7: $(4x)=0$ or $(2x+3)=0$ Step 8: $x=0$ or $x=-\frac{3}{2}$ Final Step: Checking by substituting the answers in the original equation: $4x(2x+3)=0$ and $4x(2x+3)=0$ $(4\times0)(2(0)+3)=0$ and $(4\times-\frac{3}{2})(2(-\frac{3}{2})+3)=0$ $0(3)=0$ and $(-6)(0)=0$ $0=0$ and $0=0$ Therefore, the answer checks.

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