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Simplifying 0 = -2x4(3x2 + 9) Reorder the terms: 0 = -2x4(9 + 3x2) 0 = (9 * -2x4 + 3x2 * -2x4) 0 = (-18x4 + -6x6) Solving 0 = -18x4 + -6x6 Solving for variable 'x'. Remove the zero: 18x4 + 6x6 = -18x4 + -6x6 + 18x4 + 6x6 Reorder the terms: 18x4 + 6x6 = -18x4 + 18x4 + -6x6 + 6x6 Combine like terms: -18x4 + 18x4 = 0 18x4 + 6x6 = 0 + -6x6 + 6x6 18x4 + 6x6 = -6x6 + 6x6 Combine like terms: -6x6 + 6x6 = 0 18x4 + 6x6 = 0 Factor out the Greatest Common Factor (GCF), '6x4'. 6x4(3 + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 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 '(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. The solution to this equation could not be determined.
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