x^2-12x+32=(x-8)(x-4)

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Solution for x^2-12x+32=(x-8)(x-4) equation: 


Simplifying
x2 + -12x + 32 = (x + -8)(x + -4)

Reorder the terms:
32 + -12x + x2 = (x + -8)(x + -4)

Reorder the terms:
32 + -12x + x2 = (-8 + x)(x + -4)

Reorder the terms:
32 + -12x + x2 = (-8 + x)(-4 + x)

Multiply (-8 + x) * (-4 + x)
32 + -12x + x2 = (-8(-4 + x) + x(-4 + x))
32 + -12x + x2 = ((-4 * -8 + x * -8) + x(-4 + x))
32 + -12x + x2 = ((32 + -8x) + x(-4 + x))
32 + -12x + x2 = (32 + -8x + (-4 * x + x * x))
32 + -12x + x2 = (32 + -8x + (-4x + x2))

Combine like terms: -8x + -4x = -12x
32 + -12x + x2 = (32 + -12x + x2)

Add '-32' to each side of the equation.
32 + -12x + -32 + x2 = 32 + -12x + -32 + x2

Reorder the terms:
32 + -32 + -12x + x2 = 32 + -12x + -32 + x2

Combine like terms: 32 + -32 = 0
0 + -12x + x2 = 32 + -12x + -32 + x2
-12x + x2 = 32 + -12x + -32 + x2

Reorder the terms:
-12x + x2 = 32 + -32 + -12x + x2

Combine like terms: 32 + -32 = 0
-12x + x2 = 0 + -12x + x2
-12x + x2 = -12x + x2

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

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

Combine like terms: -12x + 12x = 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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