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

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


Simplifying
-1x2 + 15x + -56 = -1(x + -8)(x + -7)

Reorder the terms:
-56 + 15x + -1x2 = -1(x + -8)(x + -7)

Reorder the terms:
-56 + 15x + -1x2 = -1(-8 + x)(x + -7)

Reorder the terms:
-56 + 15x + -1x2 = -1(-8 + x)(-7 + x)

Multiply (-8 + x) * (-7 + x)
-56 + 15x + -1x2 = -1(-8(-7 + x) + x(-7 + x))
-56 + 15x + -1x2 = -1((-7 * -8 + x * -8) + x(-7 + x))
-56 + 15x + -1x2 = -1((56 + -8x) + x(-7 + x))
-56 + 15x + -1x2 = -1(56 + -8x + (-7 * x + x * x))
-56 + 15x + -1x2 = -1(56 + -8x + (-7x + x2))

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -1x2 + x2 = 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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