Solve the equation.
-$$\frac { 3 } { x + 3 } + \frac { 8 } { x + 6 } = \frac { 10 } { x ^ { 2 } + 9 x + 18 }$$
A) $\varnothing$
B) $\left\{ - \frac { 52 } { 11 } \right\}$
C) $\{ - 1 \}$
D) $\left\{ - \frac { 32 } { 11 } \right\}$

Question

Quizplus · Accepted Answer

The equation is equivalent to:$$\frac { 3 ( x + 6 ) + 8 ( x + 3 ) } { ( x + 3 ) ( x + 6 ) } = \frac { 10 } { x ^ { 2 } + 9 x + 18 }$$$$ \frac { 3 x + 18 + 8 x + 24 } { x ^ { 2 } + 9 x + 18 } = \frac { 10 } { x ^ { 2 } + 9 x + 18 }$$$$ 11 x + 42 = 10 $$$$ 11 x = - 32 $$$$ x = - \frac { 32 } { 11 } $$

Solve the Equation 3x+3+8x+6=10x2+9x+18\frac { 3 } { x + 3 } + \frac { 8 } { x + 6 } = \frac { 10 } { x ^ { 2 } + 9 x + 18 }x+33​+x+68​=x2+9x+1810​

Solve the Equation $\frac { 3 } { x + 3 } + \frac { 8 } { x + 6 } = \frac { 10 } { x ^ { 2 } + 9 x + 18 }$