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Simplifying x6 + 142 = x12 + -14 Reorder the terms: 142 + x6 = x12 + -14 Reorder the terms: 142 + x6 = -14 + x12 Solving 142 + x6 = -14 + x12 Solving for variable 'x'. Reorder the terms: 142 + 14 + x6 + -1x12 = -14 + x12 + 14 + -1x12 Combine like terms: 142 + 14 = 156 156 + x6 + -1x12 = -14 + x12 + 14 + -1x12 Reorder the terms: 156 + x6 + -1x12 = -14 + 14 + x12 + -1x12 Combine like terms: -14 + 14 = 0 156 + x6 + -1x12 = 0 + x12 + -1x12 156 + x6 + -1x12 = x12 + -1x12 Combine like terms: x12 + -1x12 = 0 156 + x6 + -1x12 = 0 Factor a trinomial. (13 + -1x6)(12 + x6) = 0Subproblem 1
Set the factor '(13 + -1x6)' equal to zero and attempt to solve: Simplifying 13 + -1x6 = 0 Solving 13 + -1x6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x6 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x6 = 0 + -13 -1x6 = 0 + -13 Combine like terms: 0 + -13 = -13 -1x6 = -13 Divide each side by '-1'. x6 = 13 Simplifying x6 = 13 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(12 + x6)' equal to zero and attempt to solve: Simplifying 12 + x6 = 0 Solving 12 + x6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x6 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x6 = 0 + -12 x6 = 0 + -12 Combine like terms: 0 + -12 = -12 x6 = -12 Simplifying x6 = -12 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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