(x^2)-8x-29=(x^2)+2ax+(x^2)+b

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Solution for (x^2)-8x-29=(x^2)+2ax+(x^2)+b equation: 


Simplifying
(x2) + -8x + -29 = (x2) + 2ax + (x2) + b
x2 + -8x + -29 = (x2) + 2ax + (x2) + b

Reorder the terms:
-29 + -8x + x2 = (x2) + 2ax + (x2) + b
-29 + -8x + x2 = x2 + 2ax + (x2) + b
-29 + -8x + x2 = x2 + 2ax + x2 + b

Reorder the terms:
-29 + -8x + x2 = 2ax + b + x2 + x2

Combine like terms: x2 + x2 = 2x2
-29 + -8x + x2 = 2ax + b + 2x2

Solving
-29 + -8x + x2 = 2ax + b + 2x2

Solving for variable 'x'.

Reorder the terms:
-29 + -2ax + -1b + -8x + x2 + -2x2 = 2ax + b + 2x2 + -2ax + -1b + -2x2

Combine like terms: x2 + -2x2 = -1x2
-29 + -2ax + -1b + -8x + -1x2 = 2ax + b + 2x2 + -2ax + -1b + -2x2

Reorder the terms:
-29 + -2ax + -1b + -8x + -1x2 = 2ax + -2ax + b + -1b + 2x2 + -2x2

Combine like terms: 2ax + -2ax = 0
-29 + -2ax + -1b + -8x + -1x2 = 0 + b + -1b + 2x2 + -2x2
-29 + -2ax + -1b + -8x + -1x2 = b + -1b + 2x2 + -2x2

Combine like terms: b + -1b = 0
-29 + -2ax + -1b + -8x + -1x2 = 0 + 2x2 + -2x2
-29 + -2ax + -1b + -8x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-29 + -2ax + -1b + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(29 + 2ax + b + 8x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(29 + 2ax + b + 8x + x2)' equal to zero and attempt to solve:

Simplifying
29 + 2ax + b + 8x + x2 = 0

Solving
29 + 2ax + b + 8x + x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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