x^2-56x+768=(x-24)(x-32)

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Solution for x^2-56x+768=(x-24)(x-32) equation: 


Simplifying
x2 + -56x + 768 = (x + -24)(x + -32)

Reorder the terms:
768 + -56x + x2 = (x + -24)(x + -32)

Reorder the terms:
768 + -56x + x2 = (-24 + x)(x + -32)

Reorder the terms:
768 + -56x + x2 = (-24 + x)(-32 + x)

Multiply (-24 + x) * (-32 + x)
768 + -56x + x2 = (-24(-32 + x) + x(-32 + x))
768 + -56x + x2 = ((-32 * -24 + x * -24) + x(-32 + x))
768 + -56x + x2 = ((768 + -24x) + x(-32 + x))
768 + -56x + x2 = (768 + -24x + (-32 * x + x * x))
768 + -56x + x2 = (768 + -24x + (-32x + x2))

Combine like terms: -24x + -32x = -56x
768 + -56x + x2 = (768 + -56x + x2)

Add '-768' to each side of the equation.
768 + -56x + -768 + x2 = 768 + -56x + -768 + x2

Reorder the terms:
768 + -768 + -56x + x2 = 768 + -56x + -768 + x2

Combine like terms: 768 + -768 = 0
0 + -56x + x2 = 768 + -56x + -768 + x2
-56x + x2 = 768 + -56x + -768 + x2

Reorder the terms:
-56x + x2 = 768 + -768 + -56x + x2

Combine like terms: 768 + -768 = 0
-56x + x2 = 0 + -56x + x2
-56x + x2 = -56x + x2

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

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

Combine like terms: -56x + 56x = 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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