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Simplifying 4x(3x3 + -1) + -1(9x2)(2x2 + 1) = 0 Reorder the terms: 4x(-1 + 3x3) + -1(9x2)(2x2 + 1) = 0 (-1 * 4x + 3x3 * 4x) + -1(9x2)(2x2 + 1) = 0 (-4x + 12x4) + -1(9x2)(2x2 + 1) = 0 Remove parenthesis around (9x2) -4x + 12x4 + -1 * 9x2(2x2 + 1) = 0 Reorder the terms: -4x + 12x4 + -1 * 9x2(1 + 2x2) = 0 Multiply -1 * 9 -4x + 12x4 + -9x2(1 + 2x2) = 0 -4x + 12x4 + (1 * -9x2 + 2x2 * -9x2) = 0 -4x + 12x4 + (-9x2 + -18x4) = 0 Reorder the terms: -4x + -9x2 + 12x4 + -18x4 = 0 Combine like terms: 12x4 + -18x4 = -6x4 -4x + -9x2 + -6x4 = 0 Solving -4x + -9x2 + -6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(4 + 9x + 6x3) = 0 Ignore the factor -1.Subproblem 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 '(4 + 9x + 6x3)' equal to zero and attempt to solve: Simplifying 4 + 9x + 6x3 = 0 Solving 4 + 9x + 6x3 = 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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