(x-2)(x)=x^2-1

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Solution for (x-2)(x)=x^2-1 equation: 


Simplifying
(x + -2)(x) = x2 + -1

Reorder the terms:
(-2 + x)(x) = x2 + -1

Reorder the terms for easier multiplication:
x(-2 + x) = x2 + -1
(-2 * x + x * x) = x2 + -1
(-2x + x2) = x2 + -1

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

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

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

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

Solving
-2x = -1

Solving for variable 'x'.

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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