(x-6)*(x-6)-(x-4)(x-9)=

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Solution for (x-6)*(x-6)-(x-4)(x-9)= equation: 


Simplifying
(x + -6)(x + -6) + -1(x + -4)(x + -9) = 0

Reorder the terms:
(-6 + x)(x + -6) + -1(x + -4)(x + -9) = 0

Reorder the terms:
(-6 + x)(-6 + x) + -1(x + -4)(x + -9) = 0

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) + -1(x + -4)(x + -9) = 0
((-6 * -6 + x * -6) + x(-6 + x)) + -1(x + -4)(x + -9) = 0
((36 + -6x) + x(-6 + x)) + -1(x + -4)(x + -9) = 0
(36 + -6x + (-6 * x + x * x)) + -1(x + -4)(x + -9) = 0
(36 + -6x + (-6x + x2)) + -1(x + -4)(x + -9) = 0

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) + -1(x + -4)(x + -9) = 0

Reorder the terms:
36 + -12x + x2 + -1(-4 + x)(x + -9) = 0

Reorder the terms:
36 + -12x + x2 + -1(-4 + x)(-9 + x) = 0

Multiply (-4 + x) * (-9 + x)
36 + -12x + x2 + -1(-4(-9 + x) + x(-9 + x)) = 0
36 + -12x + x2 + -1((-9 * -4 + x * -4) + x(-9 + x)) = 0
36 + -12x + x2 + -1((36 + -4x) + x(-9 + x)) = 0
36 + -12x + x2 + -1(36 + -4x + (-9 * x + x * x)) = 0
36 + -12x + x2 + -1(36 + -4x + (-9x + x2)) = 0

Combine like terms: -4x + -9x = -13x
36 + -12x + x2 + -1(36 + -13x + x2) = 0
36 + -12x + x2 + (36 * -1 + -13x * -1 + x2 * -1) = 0
36 + -12x + x2 + (-36 + 13x + -1x2) = 0

Reorder the terms:
36 + -36 + -12x + 13x + x2 + -1x2 = 0

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

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

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

Solving
1x = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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