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Simplifying 0 = 3x3 + -48x Reorder the terms: 0 = -48x + 3x3 Solving 0 = -48x + 3x3 Solving for variable 'x'. Remove the zero: 48x + -3x3 = -48x + 3x3 + 48x + -3x3 Reorder the terms: 48x + -3x3 = -48x + 48x + 3x3 + -3x3 Combine like terms: -48x + 48x = 0 48x + -3x3 = 0 + 3x3 + -3x3 48x + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 48x + -3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(16 + -1x2) = 0 Factor a difference between two squares. 3x((4 + x)(4 + -1x)) = 0 Ignore the factor 3.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 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -4, 4}
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