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

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


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

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

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

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

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

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

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

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

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

Add '-1x2' to each side of the equation.
-36 + x2 + -1x2 = 36 + -12x + x2 + -1x2

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

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

Solving
-36 = 36 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-36 + 12x = 36 + -12x + 12x

Combine like terms: -12x + 12x = 0
-36 + 12x = 36 + 0
-36 + 12x = 36

Add '36' to each side of the equation.
-36 + 36 + 12x = 36 + 36

Combine like terms: -36 + 36 = 0
0 + 12x = 36 + 36
12x = 36 + 36

Combine like terms: 36 + 36 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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