Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
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\left(x+1\right)\left(x-3\right)=xx
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+1\right), the least common multiple of x,x+1.
\left(x+1\right)\left(x-3\right)=x^{2}
Multiply x and x to get x^{2}.
x^{2}-2x-3=x^{2}
Use the distributive property to multiply x+1 by x-3 and combine like terms.
x^{2}-2x-3-x^{2}=0
Subtract x^{2} from both sides.
-2x-3=0
Combine x^{2} and -x^{2} to get 0.
-2x=3
Add 3 to both sides. Anything plus zero gives itself.
x=\frac{3}{-2}
Divide both sides by -2.
x=-\frac{3}{2}
Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
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