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Simplifying 0 = 4x3 + -4x + -8x Reorder the terms: 0 = -4x + -8x + 4x3 Combine like terms: -4x + -8x = -12x 0 = -12x + 4x3 Solving 0 = -12x + 4x3 Solving for variable 'x'. Remove the zero: 12x + -4x3 = -12x + 4x3 + 12x + -4x3 Reorder the terms: 12x + -4x3 = -12x + 12x + 4x3 + -4x3 Combine like terms: -12x + 12x = 0 12x + -4x3 = 0 + 4x3 + -4x3 12x + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 12x + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + -1x2) = 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 '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {0, -1.732050808, 1.732050808}
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