Solve for x
x=5
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Linear Equation
5 problems similar to:
\frac { 4 } { x ^ { 2 } - 5 x - 36 } = \frac { - 1 } { x + 4 }
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4=\left(x-9\right)\left(-1\right)
Variable x cannot be equal to any of the values -4,9 since division by zero is not defined. Multiply both sides of the equation by \left(x-9\right)\left(x+4\right), the least common multiple of x^{2}-5x-36,x+4.
4=-x+9
Use the distributive property to multiply x-9 by -1.
-x+9=4
Swap sides so that all variable terms are on the left hand side.
-x=4-9
Subtract 9 from both sides.
-x=-5
Subtract 9 from 4 to get -5.
x=5
Multiply both sides by -1.
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