X^2-15x+56=(x-7)(x+8)

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Solution for X^2-15x+56=(x-7)(x+8) equation: 


Simplifying
X2 + -15x + 56 = (x + -7)(x + 8)

Reorder the terms:
56 + X2 + -15x = (x + -7)(x + 8)

Reorder the terms:
56 + X2 + -15x = (-7 + x)(x + 8)

Reorder the terms:
56 + X2 + -15x = (-7 + x)(8 + x)

Multiply (-7 + x) * (8 + x)
56 + X2 + -15x = (-7(8 + x) + x(8 + x))
56 + X2 + -15x = ((8 * -7 + x * -7) + x(8 + x))
56 + X2 + -15x = ((-56 + -7x) + x(8 + x))
56 + X2 + -15x = (-56 + -7x + (8 * x + x * x))
56 + X2 + -15x = (-56 + -7x + (8x + x2))

Combine like terms: -7x + 8x = 1x
56 + X2 + -15x = (-56 + 1x + x2)

Solving
56 + X2 + -15x = -56 + 1x + x2

Solving for variable 'X'.

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

Add '-56' to each side of the equation.
56 + X2 + -56 + -15x = -56 + 1x + -56 + x2

Reorder the terms:
56 + -56 + X2 + -15x = -56 + 1x + -56 + x2

Combine like terms: 56 + -56 = 0
0 + X2 + -15x = -56 + 1x + -56 + x2
X2 + -15x = -56 + 1x + -56 + x2

Reorder the terms:
X2 + -15x = -56 + -56 + 1x + x2

Combine like terms: -56 + -56 = -112
X2 + -15x = -112 + 1x + x2

Add '15x' to each side of the equation.
X2 + -15x + 15x = -112 + 1x + 15x + x2

Combine like terms: -15x + 15x = 0
X2 + 0 = -112 + 1x + 15x + x2
X2 = -112 + 1x + 15x + x2

Combine like terms: 1x + 15x = 16x
X2 = -112 + 16x + x2

Simplifying
X2 = -112 + 16x + x2

Reorder the terms:
112 + X2 + -16x + -1x2 = -112 + 16x + x2 + 112 + -16x + -1x2

Reorder the terms:
112 + X2 + -16x + -1x2 = -112 + 112 + 16x + -16x + x2 + -1x2

Combine like terms: -112 + 112 = 0
112 + X2 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2
112 + X2 + -16x + -1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
112 + X2 + -16x + -1x2 = 0 + x2 + -1x2
112 + X2 + -16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
112 + X2 + -16x + -1x2 = 0

The solution to this equation could not be determined.

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