(x-6)*(x-6)=(x+3)*(x-3)

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


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

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

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

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = (x + 3)(x + -3)
((-6 * -6 + x * -6) + x(-6 + x)) = (x + 3)(x + -3)
((36 + -6x) + x(-6 + x)) = (x + 3)(x + -3)
(36 + -6x + (-6 * x + x * x)) = (x + 3)(x + -3)
(36 + -6x + (-6x + x2)) = (x + 3)(x + -3)

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = (x + 3)(x + -3)

Reorder the terms:
36 + -12x + x2 = (3 + x)(x + -3)

Reorder the terms:
36 + -12x + x2 = (3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
36 + -12x + x2 = (3(-3 + x) + x(-3 + x))
36 + -12x + x2 = ((-3 * 3 + x * 3) + x(-3 + x))
36 + -12x + x2 = ((-9 + 3x) + x(-3 + x))
36 + -12x + x2 = (-9 + 3x + (-3 * x + x * x))
36 + -12x + x2 = (-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
36 + -12x + x2 = (-9 + 0 + x2)
36 + -12x + x2 = (-9 + x2)

Add '-1x2' to each side of the equation.
36 + -12x + x2 + -1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -12x + 0 = -9 + x2 + -1x2
36 + -12x = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -12x = -9 + 0
36 + -12x = -9

Solving
36 + -12x = -9

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -12x = -9 + -36

Combine like terms: 36 + -36 = 0
0 + -12x = -9 + -36
-12x = -9 + -36

Combine like terms: -9 + -36 = -45
-12x = -45

Divide each side by '-12'.
x = 3.75

Simplifying
x = 3.75

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