(x-2)(x+3)=x-10

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Solution for (x-2)(x+3)=x-10 equation: 


Simplifying
(x + -2)(x + 3) = x + -10

Reorder the terms:
(-2 + x)(x + 3) = x + -10

Reorder the terms:
(-2 + x)(3 + x) = x + -10

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x)) = x + -10
((3 * -2 + x * -2) + x(3 + x)) = x + -10
((-6 + -2x) + x(3 + x)) = x + -10
(-6 + -2x + (3 * x + x * x)) = x + -10
(-6 + -2x + (3x + x2)) = x + -10

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2) = x + -10

Reorder the terms:
-6 + 1x + x2 = -10 + x

Solving
-6 + 1x + x2 = -10 + x

Solving for variable 'x'.

Reorder the terms:
-6 + 10 + 1x + -1x + x2 = -10 + x + 10 + -1x

Combine like terms: -6 + 10 = 4
4 + 1x + -1x + x2 = -10 + x + 10 + -1x

Combine like terms: 1x + -1x = 0
4 + 0 + x2 = -10 + x + 10 + -1x
4 + x2 = -10 + x + 10 + -1x

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

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

Combine like terms: x + -1x = 0
4 + x2 = 0

The solution to this equation could not be determined.

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