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

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


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

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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