x^2-2x=x(8+x)

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Solution for x^2-2x=x(8+x) equation:


Simplifying
x2 + -2x = x(8 + x)

Reorder the terms:
-2x + x2 = x(8 + x)
-2x + x2 = (8 * x + x * x)
-2x + x2 = (8x + x2)

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = 8x + x2 + -1x2
-2x = 8x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = 8x + 0
-2x = 8x

Solving
-2x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2x + -8x = 8x + -8x

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

Combine like terms: 8x + -8x = 0
-10x = 0

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0

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