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Simplifying 0 = (12x6 + -9x5) + (3x4 + -27x2) Reorder the terms: 0 = (-9x5 + 12x6) + (3x4 + -27x2) Remove parenthesis around (-9x5 + 12x6) 0 = -9x5 + 12x6 + (3x4 + -27x2) Reorder the terms: 0 = -9x5 + 12x6 + (-27x2 + 3x4) Remove parenthesis around (-27x2 + 3x4) 0 = -9x5 + 12x6 + -27x2 + 3x4 Reorder the terms: 0 = -27x2 + 3x4 + -9x5 + 12x6 Solving 0 = -27x2 + 3x4 + -9x5 + 12x6 Solving for variable 'x'. Remove the zero: 27x2 + -3x4 + 9x5 + -12x6 = -27x2 + 3x4 + -9x5 + 12x6 + 27x2 + -3x4 + 9x5 + -12x6 Reorder the terms: 27x2 + -3x4 + 9x5 + -12x6 = -27x2 + 27x2 + 3x4 + -3x4 + -9x5 + 9x5 + 12x6 + -12x6 Combine like terms: -27x2 + 27x2 = 0 27x2 + -3x4 + 9x5 + -12x6 = 0 + 3x4 + -3x4 + -9x5 + 9x5 + 12x6 + -12x6 27x2 + -3x4 + 9x5 + -12x6 = 3x4 + -3x4 + -9x5 + 9x5 + 12x6 + -12x6 Combine like terms: 3x4 + -3x4 = 0 27x2 + -3x4 + 9x5 + -12x6 = 0 + -9x5 + 9x5 + 12x6 + -12x6 27x2 + -3x4 + 9x5 + -12x6 = -9x5 + 9x5 + 12x6 + -12x6 Combine like terms: -9x5 + 9x5 = 0 27x2 + -3x4 + 9x5 + -12x6 = 0 + 12x6 + -12x6 27x2 + -3x4 + 9x5 + -12x6 = 12x6 + -12x6 Combine like terms: 12x6 + -12x6 = 0 27x2 + -3x4 + 9x5 + -12x6 = 0 Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(9 + -1x2 + 3x3 + -4x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(9 + -1x2 + 3x3 + -4x4)' equal to zero and attempt to solve: Simplifying 9 + -1x2 + 3x3 + -4x4 = 0 Solving 9 + -1x2 + 3x3 + -4x4 = 0 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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