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