(x-2)*(x+1)=x*x-10

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Solution for (x-2)*(x+1)=x*x-10 equation: 


Simplifying
(x + -2)(x + 1) = x * x + -10

Reorder the terms:
(-2 + x)(x + 1) = x * x + -10

Reorder the terms:
(-2 + x)(1 + x) = x * x + -10

Multiply (-2 + x) * (1 + x)
(-2(1 + x) + x(1 + x)) = x * x + -10
((1 * -2 + x * -2) + x(1 + x)) = x * x + -10
((-2 + -2x) + x(1 + x)) = x * x + -10
(-2 + -2x + (1 * x + x * x)) = x * x + -10
(-2 + -2x + (1x + x2)) = x * x + -10

Combine like terms: -2x + 1x = -1x
(-2 + -1x + x2) = x * x + -10

Multiply x * x
-2 + -1x + x2 = x2 + -10

Reorder the terms:
-2 + -1x + x2 = -10 + x2

Add '-1x2' to each side of the equation.
-2 + -1x + x2 + -1x2 = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x + 0 = -10 + x2 + -1x2
-2 + -1x = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x = -10 + 0
-2 + -1x = -10

Solving
-2 + -1x = -10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -10 + 2
-1x = -10 + 2

Combine like terms: -10 + 2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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