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Simplifying x2 + -4x + -6 = x2 + xa + xa + a2 + b Reorder the terms: -6 + -4x + x2 = x2 + xa + xa + a2 + b Reorder the terms: -6 + -4x + x2 = ax + ax + a2 + b + x2 Combine like terms: ax + ax = 2ax -6 + -4x + x2 = 2ax + a2 + b + x2 Add '-1x2' to each side of the equation. -6 + -4x + x2 + -1x2 = 2ax + a2 + b + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -4x + 0 = 2ax + a2 + b + x2 + -1x2 -6 + -4x = 2ax + a2 + b + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -4x = 2ax + a2 + b + 0 -6 + -4x = 2ax + a2 + b Solving -6 + -4x = 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. -6 + -2ax + -4x = 2ax + a2 + -2ax + b Reorder the terms: -6 + -2ax + -4x = 2ax + -2ax + a2 + b Combine like terms: 2ax + -2ax = 0 -6 + -2ax + -4x = 0 + a2 + b -6 + -2ax + -4x = a2 + b Add '6' to each side of the equation. -6 + -2ax + 6 + -4x = a2 + 6 + b Reorder the terms: -6 + 6 + -2ax + -4x = a2 + 6 + b Combine like terms: -6 + 6 = 0 0 + -2ax + -4x = a2 + 6 + b -2ax + -4x = a2 + 6 + b Reorder the terms: -2ax + -4x = 6 + a2 + b Reorder the terms: -6 + -2ax + -1a2 + -1b + -4x = 6 + a2 + b + -6 + -1a2 + -1b Reorder the terms: -6 + -2ax + -1a2 + -1b + -4x = 6 + -6 + a2 + -1a2 + b + -1b Combine like terms: 6 + -6 = 0 -6 + -2ax + -1a2 + -1b + -4x = 0 + a2 + -1a2 + b + -1b -6 + -2ax + -1a2 + -1b + -4x = a2 + -1a2 + b + -1b Combine like terms: a2 + -1a2 = 0 -6 + -2ax + -1a2 + -1b + -4x = 0 + b + -1b -6 + -2ax + -1a2 + -1b + -4x = b + -1b Combine like terms: b + -1b = 0 -6 + -2ax + -1a2 + -1b + -4x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 2ax + a2 + b + 4x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 2ax + a2 + b + 4x)' equal to zero and attempt to solve: Simplifying 6 + 2ax + a2 + b + 4x = 0 Solving 6 + 2ax + a2 + b + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2ax + a2 + b + -6 + 4x = 0 + -6 Reorder the terms: 6 + -6 + 2ax + a2 + b + 4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2ax + a2 + b + 4x = 0 + -6 2ax + a2 + b + 4x = 0 + -6 Combine like terms: 0 + -6 = -6 2ax + a2 + b + 4x = -6 Add '-1a2' to each side of the equation. 2ax + a2 + b + -1a2 + 4x = -6 + -1a2 Reorder the terms: 2ax + a2 + -1a2 + b + 4x = -6 + -1a2 Combine like terms: a2 + -1a2 = 0 2ax + 0 + b + 4x = -6 + -1a2 2ax + b + 4x = -6 + -1a2 Add '-1b' to each side of the equation. 2ax + b + -1b + 4x = -6 + -1a2 + -1b Combine like terms: b + -1b = 0 2ax + 0 + 4x = -6 + -1a2 + -1b 2ax + 4x = -6 + -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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