x(x+2)=x(x+6)

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Solution for x(x+2)=x(x+6) equation:


Simplifying
x(x + 2) = x(x + 6)

Reorder the terms:
x(2 + x) = x(x + 6)
(2 * x + x * x) = x(x + 6)
(2x + x2) = x(x + 6)

Reorder the terms:
2x + x2 = x(6 + x)
2x + x2 = (6 * x + x * x)
2x + x2 = (6x + x2)

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = 6x + x2 + -1x2
2x = 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = 6x + 0
2x = 6x

Solving
2x = 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.
2x + -6x = 6x + -6x

Combine like terms: 2x + -6x = -4x
-4x = 6x + -6x

Combine like terms: 6x + -6x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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