Solve for x
x=2
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15x+x^{2}+5x-36=8+\left(x-2\right)\left(x+3\right)
Use the distributive property to multiply x-4 by x+9 and combine like terms.
20x+x^{2}-36=8+\left(x-2\right)\left(x+3\right)
Combine 15x and 5x to get 20x.
20x+x^{2}-36=8+x^{2}+x-6
Use the distributive property to multiply x-2 by x+3 and combine like terms.
20x+x^{2}-36=2+x^{2}+x
Subtract 6 from 8 to get 2.
20x+x^{2}-36-x^{2}=2+x
Subtract x^{2} from both sides.
20x-36=2+x
Combine x^{2} and -x^{2} to get 0.
20x-36-x=2
Subtract x from both sides.
19x-36=2
Combine 20x and -x to get 19x.
19x=2+36
Add 36 to both sides.
19x=38
Add 2 and 36 to get 38.
x=\frac{38}{19}
Divide both sides by 19.
x=2
Divide 38 by 19 to get 2.
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Limits
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