(x-6)(x+6)=(x-6)x(x-6)

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


Simplifying
(x + -6)(x + 6) = (x + -6) * x(x + -6)

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

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

Multiply (-6 + x) * (6 + x)
(-6(6 + x) + x(6 + x)) = (x + -6) * x(x + -6)
((6 * -6 + x * -6) + x(6 + x)) = (x + -6) * x(x + -6)
((-36 + -6x) + x(6 + x)) = (x + -6) * x(x + -6)
(-36 + -6x + (6 * x + x * x)) = (x + -6) * x(x + -6)
(-36 + -6x + (6x + x2)) = (x + -6) * x(x + -6)

Combine like terms: -6x + 6x = 0
(-36 + 0 + x2) = (x + -6) * x(x + -6)
(-36 + x2) = (x + -6) * x(x + -6)

Reorder the terms:
-36 + x2 = (-6 + x) * x(x + -6)

Reorder the terms:
-36 + x2 = (-6 + x) * x(-6 + x)

Reorder the terms for easier multiplication:
-36 + x2 = x(-6 + x)(-6 + x)

Multiply (-6 + x) * (-6 + x)
-36 + x2 = x(-6(-6 + x) + x(-6 + x))
-36 + x2 = x((-6 * -6 + x * -6) + x(-6 + x))
-36 + x2 = x((36 + -6x) + x(-6 + x))
-36 + x2 = x(36 + -6x + (-6 * x + x * x))
-36 + x2 = x(36 + -6x + (-6x + x2))

Combine like terms: -6x + -6x = -12x
-36 + x2 = x(36 + -12x + x2)
-36 + x2 = (36 * x + -12x * x + x2 * x)
-36 + x2 = (36x + -12x2 + x3)

Solving
-36 + x2 = 36x + -12x2 + x3

Solving for variable 'x'.

Reorder the terms:
-36 + -36x + x2 + 12x2 + -1x3 = 36x + -12x2 + x3 + -36x + 12x2 + -1x3

Combine like terms: x2 + 12x2 = 13x2
-36 + -36x + 13x2 + -1x3 = 36x + -12x2 + x3 + -36x + 12x2 + -1x3

Reorder the terms:
-36 + -36x + 13x2 + -1x3 = 36x + -36x + -12x2 + 12x2 + x3 + -1x3

Combine like terms: 36x + -36x = 0
-36 + -36x + 13x2 + -1x3 = 0 + -12x2 + 12x2 + x3 + -1x3
-36 + -36x + 13x2 + -1x3 = -12x2 + 12x2 + x3 + -1x3

Combine like terms: -12x2 + 12x2 = 0
-36 + -36x + 13x2 + -1x3 = 0 + x3 + -1x3
-36 + -36x + 13x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36 + -36x + 13x2 + -1x3 = 0

The solution to this equation could not be determined.

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