Solve for x
x=-80
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\frac{6}{x+8}=\frac{-\frac{3}{4}}{9}
Divide both sides by 9.
\frac{6}{x+8}=\frac{-3}{4\times 9}
Express \frac{-\frac{3}{4}}{9} as a single fraction.
\frac{6}{x+8}=\frac{-3}{36}
Multiply 4 and 9 to get 36.
\frac{6}{x+8}=-\frac{1}{12}
Reduce the fraction \frac{-3}{36} to lowest terms by extracting and canceling out 3.
12\times 6=-\left(x+8\right)
Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 12\left(x+8\right), the least common multiple of x+8,12.
72=-\left(x+8\right)
Multiply 12 and 6 to get 72.
72=-x-8
To find the opposite of x+8, find the opposite of each term.
-x-8=72
Swap sides so that all variable terms are on the left hand side.
-x=72+8
Add 8 to both sides.
-x=80
Add 72 and 8 to get 80.
x=-80
Multiply both sides by -1.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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