Solve for x
x=6
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\left(x+4\right)\left(-9\right)=x\left(-15\right)
Variable x cannot be equal to any of the values -4,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+4\right), the least common multiple of x,x+4.
-9x-36=x\left(-15\right)
Use the distributive property to multiply x+4 by -9.
-9x-36-x\left(-15\right)=0
Subtract x\left(-15\right) from both sides.
6x-36=0
Combine -9x and -x\left(-15\right) to get 6x.
6x=36
Add 36 to both sides. Anything plus zero gives itself.
x=\frac{36}{6}
Divide both sides by 6.
x=6
Divide 36 by 6 to get 6.
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