8x^2-56x+96=8(x-3)(x-4)

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Solution for 8x^2-56x+96=8(x-3)(x-4) equation: 


Simplifying
8x2 + -56x + 96 = 8(x + -3)(x + -4)

Reorder the terms:
96 + -56x + 8x2 = 8(x + -3)(x + -4)

Reorder the terms:
96 + -56x + 8x2 = 8(-3 + x)(x + -4)

Reorder the terms:
96 + -56x + 8x2 = 8(-3 + x)(-4 + x)

Multiply (-3 + x) * (-4 + x)
96 + -56x + 8x2 = 8(-3(-4 + x) + x(-4 + x))
96 + -56x + 8x2 = 8((-4 * -3 + x * -3) + x(-4 + x))
96 + -56x + 8x2 = 8((12 + -3x) + x(-4 + x))
96 + -56x + 8x2 = 8(12 + -3x + (-4 * x + x * x))
96 + -56x + 8x2 = 8(12 + -3x + (-4x + x2))

Combine like terms: -3x + -4x = -7x
96 + -56x + 8x2 = 8(12 + -7x + x2)
96 + -56x + 8x2 = (12 * 8 + -7x * 8 + x2 * 8)
96 + -56x + 8x2 = (96 + -56x + 8x2)

Add '-96' to each side of the equation.
96 + -56x + -96 + 8x2 = 96 + -56x + -96 + 8x2

Reorder the terms:
96 + -96 + -56x + 8x2 = 96 + -56x + -96 + 8x2

Combine like terms: 96 + -96 = 0
0 + -56x + 8x2 = 96 + -56x + -96 + 8x2
-56x + 8x2 = 96 + -56x + -96 + 8x2

Reorder the terms:
-56x + 8x2 = 96 + -96 + -56x + 8x2

Combine like terms: 96 + -96 = 0
-56x + 8x2 = 0 + -56x + 8x2
-56x + 8x2 = -56x + 8x2

Add '56x' to each side of the equation.
-56x + 56x + 8x2 = -56x + 56x + 8x2

Combine like terms: -56x + 56x = 0
0 + 8x2 = -56x + 56x + 8x2
8x2 = -56x + 56x + 8x2

Combine like terms: -56x + 56x = 0
8x2 = 0 + 8x2
8x2 = 8x2

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

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

Combine like terms: 8x2 + -8x2 = 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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