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Simplifying (x2 + 3) * x(x + 4)(-2) = 0 Reorder the terms: (3 + x2) * x(x + 4)(-2) = 0 Reorder the terms: (3 + x2) * x(4 + x)(-2) = 0 Reorder the terms for easier multiplication: -2x(3 + x2)(4 + x) = 0 Multiply (3 + x2) * (4 + x) -2x(3(4 + x) + x2(4 + x)) = 0 -2x((4 * 3 + x * 3) + x2(4 + x)) = 0 -2x((12 + 3x) + x2(4 + x)) = 0 -2x(12 + 3x + (4 * x2 + x * x2)) = 0 -2x(12 + 3x + (4x2 + x3)) = 0 -2x(12 + 3x + 4x2 + x3) = 0 (12 * -2x + 3x * -2x + 4x2 * -2x + x3 * -2x) = 0 (-24x + -6x2 + -8x3 + -2x4) = 0 Solving -24x + -6x2 + -8x3 + -2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(12 + 3x + 4x2 + x3) = 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 '(12 + 3x + 4x2 + x3)' equal to zero and attempt to solve: Simplifying 12 + 3x + 4x2 + x3 = 0 Solving 12 + 3x + 4x2 + x3 = 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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