x(x-2)=x^2-4

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Solution for x(x-2)=x^2-4 equation:


Simplifying
x(x + -2) = x2 + -4

Reorder the terms:
x(-2 + x) = x2 + -4
(-2 * x + x * x) = x2 + -4
(-2x + x2) = x2 + -4

Reorder the terms:
-2x + x2 = -4 + x2

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = -4 + x2 + -1x2
-2x = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = -4 + 0
-2x = -4

Solving
-2x = -4

Solving for variable 'x'.

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

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

Simplifying
x = 2

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