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Simplifying (-3x2 + -3)(4x(x2 + -1)) = 0 Reorder the terms: (-3 + -3x2)(4x(x2 + -1)) = 0 Reorder the terms: (-3 + -3x2)(4x(-1 + x2)) = 0 (-3 + -3x2)((-1 * 4x + x2 * 4x)) = 0 (-3 + -3x2)((-4x + 4x3)) = 0 Multiply (-3 + -3x2) * (-4x + 4x3) (-3(-4x + 4x3) + -3x2 * (-4x + 4x3)) = 0 ((-4x * -3 + 4x3 * -3) + -3x2 * (-4x + 4x3)) = 0 ((12x + -12x3) + -3x2 * (-4x + 4x3)) = 0 (12x + -12x3 + (-4x * -3x2 + 4x3 * -3x2)) = 0 (12x + -12x3 + (12x3 + -12x5)) = 0 Combine like terms: -12x3 + 12x3 = 0 (12x + 0 + -12x5) = 0 (12x + -12x5) = 0 Solving 12x + -12x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(1 + -1x4) = 0 Factor a difference between two squares. 12x((1 + x2)(1 + -1x2)) = 0 Factor a difference between two squares. 12x((1 + x2)((1 + x)(1 + -1x))) = 0 Ignore the factor 12.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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 4
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -1, 1}
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