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Simplifying (-2 + -1x2)(4x3 + 8x) = 0 Reorder the terms: (-2 + -1x2)(8x + 4x3) = 0 Multiply (-2 + -1x2) * (8x + 4x3) (-2(8x + 4x3) + -1x2 * (8x + 4x3)) = 0 ((8x * -2 + 4x3 * -2) + -1x2 * (8x + 4x3)) = 0 ((-16x + -8x3) + -1x2 * (8x + 4x3)) = 0 (-16x + -8x3 + (8x * -1x2 + 4x3 * -1x2)) = 0 (-16x + -8x3 + (-8x3 + -4x5)) = 0 Combine like terms: -8x3 + -8x3 = -16x3 (-16x + -16x3 + -4x5) = 0 Solving -16x + -16x3 + -4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x'. -4x(4 + 4x2 + x4) = 0 Factor a trinomial. -4x((2 + x2)(2 + x2)) = 0 Ignore the factor -4.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 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 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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