x^2-8x+5=(x-4)(x-4)-11

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Solution for x^2-8x+5=(x-4)(x-4)-11 equation: 


Simplifying
x2 + -8x + 5 = (x + -4)(x + -4) + -11

Reorder the terms:
5 + -8x + x2 = (x + -4)(x + -4) + -11

Reorder the terms:
5 + -8x + x2 = (-4 + x)(x + -4) + -11

Reorder the terms:
5 + -8x + x2 = (-4 + x)(-4 + x) + -11

Multiply (-4 + x) * (-4 + x)
5 + -8x + x2 = (-4(-4 + x) + x(-4 + x)) + -11
5 + -8x + x2 = ((-4 * -4 + x * -4) + x(-4 + x)) + -11
5 + -8x + x2 = ((16 + -4x) + x(-4 + x)) + -11
5 + -8x + x2 = (16 + -4x + (-4 * x + x * x)) + -11
5 + -8x + x2 = (16 + -4x + (-4x + x2)) + -11

Combine like terms: -4x + -4x = -8x
5 + -8x + x2 = (16 + -8x + x2) + -11

Reorder the terms:
5 + -8x + x2 = 16 + -11 + -8x + x2

Combine like terms: 16 + -11 = 5
5 + -8x + x2 = 5 + -8x + x2

Add '-5' to each side of the equation.
5 + -8x + -5 + x2 = 5 + -8x + -5 + x2

Reorder the terms:
5 + -5 + -8x + x2 = 5 + -8x + -5 + x2

Combine like terms: 5 + -5 = 0
0 + -8x + x2 = 5 + -8x + -5 + x2
-8x + x2 = 5 + -8x + -5 + x2

Reorder the terms:
-8x + x2 = 5 + -5 + -8x + x2

Combine like terms: 5 + -5 = 0
-8x + x2 = 0 + -8x + x2
-8x + x2 = -8x + x2

Add '8x' to each side of the equation.
-8x + 8x + x2 = -8x + 8x + x2

Combine like terms: -8x + 8x = 0
0 + x2 = -8x + 8x + x2
x2 = -8x + 8x + x2

Combine like terms: -8x + 8x = 0
x2 = 0 + x2
x2 = x2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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