x^2-2x=x(x+5)

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Solution for x^2-2x=x(x+5) equation:


Simplifying
x2 + -2x = x(x + 5)

Reorder the terms:
-2x + x2 = x(x + 5)

Reorder the terms:
-2x + x2 = x(5 + x)
-2x + x2 = (5 * x + x * x)
-2x + x2 = (5x + x2)

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = 5x + x2 + -1x2
-2x = 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = 5x + 0
-2x = 5x

Solving
-2x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2x + -5x = 5x + -5x

Combine like terms: -2x + -5x = -7x
-7x = 5x + -5x

Combine like terms: 5x + -5x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0

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