Solve the equation.
-$$\frac { 24 } { 4 x ^ { 2 } + 24 x } = 1 - \frac { 1 } { x + 6 }$$
A) $\{ - 6,1 \}$
B) $\{ 24 \}$
C) $\{ 1 \}$
D) $\{ 0 \}$

Name: Solve the equation. -\[\frac { 24 } { 4 x ^ { 2 } + 24 x } = 1 - \frac { 1 } { x + 6 }\] A) $\{ - 6,1 \}$ B) $\{ 24 \}$ C) $\{ 1 \}$ D) $\{ 0 \}$
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Quizplus · Accepted Answer

The equation simplifies to $ \frac{24}{4x(x+6)} = \frac{x+5}{x+6} $. Solving gives $ x = 1 $. $ x = -6 $ is extraneous as it makes the denominator zero.

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Solve the Equation $\frac { 24 } { 4 x ^ { 2 } + 24 x } = 1 - \frac { 1 } { x + 6 }$