x^2+5x=x(x-11)

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Solution for x^2+5x=x(x-11) equation:


Simplifying
x2 + 5x = x(x + -11)

Reorder the terms:
5x + x2 = x(x + -11)

Reorder the terms:
5x + x2 = x(-11 + x)
5x + x2 = (-11 * x + x * x)
5x + x2 = (-11x + x2)

Add '-1x2' to each side of the equation.
5x + x2 + -1x2 = -11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x + 0 = -11x + x2 + -1x2
5x = -11x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x = -11x + 0
5x = -11x

Solving
5x = -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
5x + 11x = -11x + 11x

Combine like terms: 5x + 11x = 16x
16x = -11x + 11x

Combine like terms: -11x + 11x = 0
16x = 0

Divide each side by '16'.
x = 0

Simplifying
x = 0

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