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Simplifying (3x3 + x)(4x4 + -2x2 + 1) = 0 Reorder the terms: (x + 3x3)(4x4 + -2x2 + 1) = 0 Reorder the terms: (x + 3x3)(1 + -2x2 + 4x4) = 0 Multiply (x + 3x3) * (1 + -2x2 + 4x4) (x(1 + -2x2 + 4x4) + 3x3 * (1 + -2x2 + 4x4)) = 0 ((1 * x + -2x2 * x + 4x4 * x) + 3x3 * (1 + -2x2 + 4x4)) = 0 ((1x + -2x3 + 4x5) + 3x3 * (1 + -2x2 + 4x4)) = 0 (1x + -2x3 + 4x5 + (1 * 3x3 + -2x2 * 3x3 + 4x4 * 3x3)) = 0 (1x + -2x3 + 4x5 + (3x3 + -6x5 + 12x7)) = 0 Reorder the terms: (1x + -2x3 + 3x3 + 4x5 + -6x5 + 12x7) = 0 Combine like terms: -2x3 + 3x3 = 1x3 (1x + 1x3 + 4x5 + -6x5 + 12x7) = 0 Combine like terms: 4x5 + -6x5 = -2x5 (1x + 1x3 + -2x5 + 12x7) = 0 Solving 1x + 1x3 + -2x5 + 12x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + x2 + -2x4 + 12x6) = 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 '(1 + x2 + -2x4 + 12x6)' equal to zero and attempt to solve: Simplifying 1 + x2 + -2x4 + 12x6 = 0 Solving 1 + x2 + -2x4 + 12x6 = 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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