x^2+10x+31=(x+a)+b

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Solution for x^2+10x+31=(x+a)+b equation: 


Simplifying
x2 + 10x + 31 = (x + a) + b

Reorder the terms:
31 + 10x + x2 = (x + a) + b

Reorder the terms:
31 + 10x + x2 = (a + x) + b

Remove parenthesis around (a + x)
31 + 10x + x2 = a + x + b

Reorder the terms:
31 + 10x + x2 = a + b + x

Solving
31 + 10x + x2 = a + b + x

Solving for variable 'x'.

Reorder the terms:
31 + -1a + -1b + 10x + -1x + x2 = a + b + x + -1a + -1b + -1x

Combine like terms: 10x + -1x = 9x
31 + -1a + -1b + 9x + x2 = a + b + x + -1a + -1b + -1x

Reorder the terms:
31 + -1a + -1b + 9x + x2 = a + -1a + b + -1b + x + -1x

Combine like terms: a + -1a = 0
31 + -1a + -1b + 9x + x2 = 0 + b + -1b + x + -1x
31 + -1a + -1b + 9x + x2 = b + -1b + x + -1x

Combine like terms: b + -1b = 0
31 + -1a + -1b + 9x + x2 = 0 + x + -1x
31 + -1a + -1b + 9x + x2 = x + -1x

Combine like terms: x + -1x = 0
31 + -1a + -1b + 9x + x2 = 0

The solution to this equation could not be determined.

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