x^2+3x=x(x-6)

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Solution for x^2+3x=x(x-6) equation:


Simplifying
x2 + 3x = x(x + -6)

Reorder the terms:
3x + x2 = x(x + -6)

Reorder the terms:
3x + x2 = x(-6 + x)
3x + x2 = (-6 * x + x * x)
3x + x2 = (-6x + x2)

Add '-1x2' to each side of the equation.
3x + x2 + -1x2 = -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x + 0 = -6x + x2 + -1x2
3x = -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3x = -6x + 0
3x = -6x

Solving
3x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3x + 6x = -6x + 6x

Combine like terms: 3x + 6x = 9x
9x = -6x + 6x

Combine like terms: -6x + 6x = 0
9x = 0

Divide each side by '9'.
x = 0

Simplifying
x = 0

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