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Simplifying 27x = -1x5 + -12x3 Reorder the terms: 27x = -12x3 + -1x5 Solving 27x = -12x3 + -1x5 Solving for variable 'x'. Reorder the terms: 27x + 12x3 + x5 = -12x3 + 12x3 + -1x5 + x5 Combine like terms: -12x3 + 12x3 = 0 27x + 12x3 + x5 = 0 + -1x5 + x5 27x + 12x3 + x5 = -1x5 + x5 Combine like terms: -1x5 + x5 = 0 27x + 12x3 + x5 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(27 + 12x2 + x4) = 0 Factor a trinomial. x((9 + x2)(3 + x2)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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