(x-4)(x-4)-(x+1)(x-8)=11

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Solution for (x-4)(x-4)-(x+1)(x-8)=11 equation: 


Simplifying
(x + -4)(x + -4) + -1(x + 1)(x + -8) = 11

Reorder the terms:
(-4 + x)(x + -4) + -1(x + 1)(x + -8) = 11

Reorder the terms:
(-4 + x)(-4 + x) + -1(x + 1)(x + -8) = 11

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) + -1(x + 1)(x + -8) = 11
((-4 * -4 + x * -4) + x(-4 + x)) + -1(x + 1)(x + -8) = 11
((16 + -4x) + x(-4 + x)) + -1(x + 1)(x + -8) = 11
(16 + -4x + (-4 * x + x * x)) + -1(x + 1)(x + -8) = 11
(16 + -4x + (-4x + x2)) + -1(x + 1)(x + -8) = 11

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) + -1(x + 1)(x + -8) = 11

Reorder the terms:
16 + -8x + x2 + -1(1 + x)(x + -8) = 11

Reorder the terms:
16 + -8x + x2 + -1(1 + x)(-8 + x) = 11

Multiply (1 + x) * (-8 + x)
16 + -8x + x2 + -1(1(-8 + x) + x(-8 + x)) = 11
16 + -8x + x2 + -1((-8 * 1 + x * 1) + x(-8 + x)) = 11
16 + -8x + x2 + -1((-8 + 1x) + x(-8 + x)) = 11
16 + -8x + x2 + -1(-8 + 1x + (-8 * x + x * x)) = 11
16 + -8x + x2 + -1(-8 + 1x + (-8x + x2)) = 11

Combine like terms: 1x + -8x = -7x
16 + -8x + x2 + -1(-8 + -7x + x2) = 11
16 + -8x + x2 + (-8 * -1 + -7x * -1 + x2 * -1) = 11
16 + -8x + x2 + (8 + 7x + -1x2) = 11

Reorder the terms:
16 + 8 + -8x + 7x + x2 + -1x2 = 11

Combine like terms: 16 + 8 = 24
24 + -8x + 7x + x2 + -1x2 = 11

Combine like terms: -8x + 7x = -1x
24 + -1x + x2 + -1x2 = 11

Combine like terms: x2 + -1x2 = 0
24 + -1x + 0 = 11
24 + -1x = 11

Solving
24 + -1x = 11

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 11 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 11 + -24
-1x = 11 + -24

Combine like terms: 11 + -24 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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