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Simplifying x2 + -8x + -29 = x2 + a2 + 2ax + b Reorder the terms: -29 + -8x + x2 = x2 + a2 + 2ax + b Reorder the terms: -29 + -8x + x2 = 2ax + a2 + b + x2 Add '-1x2' to each side of the equation. -29 + -8x + x2 + -1x2 = 2ax + a2 + b + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -29 + -8x + 0 = 2ax + a2 + b + x2 + -1x2 -29 + -8x = 2ax + a2 + b + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -29 + -8x = 2ax + a2 + b + 0 -29 + -8x = 2ax + a2 + b Solving -29 + -8x = 2ax + a2 + b Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2ax' to each side of the equation. -29 + -2ax + -8x = 2ax + a2 + -2ax + b Reorder the terms: -29 + -2ax + -8x = 2ax + -2ax + a2 + b Combine like terms: 2ax + -2ax = 0 -29 + -2ax + -8x = 0 + a2 + b -29 + -2ax + -8x = a2 + b Add '29' to each side of the equation. -29 + -2ax + 29 + -8x = a2 + 29 + b Reorder the terms: -29 + 29 + -2ax + -8x = a2 + 29 + b Combine like terms: -29 + 29 = 0 0 + -2ax + -8x = a2 + 29 + b -2ax + -8x = a2 + 29 + b Reorder the terms: -2ax + -8x = 29 + a2 + b Reorder the terms: -29 + -2ax + -1a2 + -1b + -8x = 29 + a2 + b + -29 + -1a2 + -1b Reorder the terms: -29 + -2ax + -1a2 + -1b + -8x = 29 + -29 + a2 + -1a2 + b + -1b Combine like terms: 29 + -29 = 0 -29 + -2ax + -1a2 + -1b + -8x = 0 + a2 + -1a2 + b + -1b -29 + -2ax + -1a2 + -1b + -8x = a2 + -1a2 + b + -1b Combine like terms: a2 + -1a2 = 0 -29 + -2ax + -1a2 + -1b + -8x = 0 + b + -1b -29 + -2ax + -1a2 + -1b + -8x = b + -1b Combine like terms: b + -1b = 0 -29 + -2ax + -1a2 + -1b + -8x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(29 + 2ax + a2 + b + 8x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(29 + 2ax + a2 + b + 8x)' equal to zero and attempt to solve: Simplifying 29 + 2ax + a2 + b + 8x = 0 Solving 29 + 2ax + a2 + b + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + 2ax + a2 + b + -29 + 8x = 0 + -29 Reorder the terms: 29 + -29 + 2ax + a2 + b + 8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2ax + a2 + b + 8x = 0 + -29 2ax + a2 + b + 8x = 0 + -29 Combine like terms: 0 + -29 = -29 2ax + a2 + b + 8x = -29 Add '-1a2' to each side of the equation. 2ax + a2 + b + -1a2 + 8x = -29 + -1a2 Reorder the terms: 2ax + a2 + -1a2 + b + 8x = -29 + -1a2 Combine like terms: a2 + -1a2 = 0 2ax + 0 + b + 8x = -29 + -1a2 2ax + b + 8x = -29 + -1a2 Add '-1b' to each side of the equation. 2ax + b + -1b + 8x = -29 + -1a2 + -1b Combine like terms: b + -1b = 0 2ax + 0 + 8x = -29 + -1a2 + -1b 2ax + 8x = -29 + -1a2 + -1b 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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