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Simplifying x6 + 32 = 12x3 Reorder the terms: 32 + x6 = 12x3 Solving 32 + x6 = 12x3 Solving for variable 'x'. Reorder the terms: 32 + -12x3 + x6 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 32 + -12x3 + x6 = 0 Factor a trinomial. (4 + -1x3)(8 + -1x3) = 0Subproblem 1
Set the factor '(4 + -1x3)' equal to zero and attempt to solve: Simplifying 4 + -1x3 = 0 Solving 4 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x3 = 0 + -4 -1x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x3 = -4 Divide each side by '-1'. x3 = 4 Simplifying x3 = 4 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 '(8 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + -1x3 = 0 Solving 8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x3 = 0 + -8 -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x3 = -8 Divide each side by '-1'. x3 = 8 Simplifying x3 = 8 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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