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Simplifying 0 = x3 + -12x Reorder the terms: 0 = -12x + x3 Solving 0 = -12x + x3 Solving for variable 'x'. Remove the zero: 12x + -1x3 = -12x + x3 + 12x + -1x3 Reorder the terms: 12x + -1x3 = -12x + 12x + x3 + -1x3 Combine like terms: -12x + 12x = 0 12x + -1x3 = 0 + x3 + -1x3 12x + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 12x + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(12 + -1x2) = 0Subproblem 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 + -1x2)' equal to zero and attempt to solve: Simplifying 12 + -1x2 = 0 Solving 12 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x2 = 0 + -12 -1x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1x2 = -12 Divide each side by '-1'. x2 = 12 Simplifying x2 = 12 Take the square root of each side: x = {-3.464101615, 3.464101615}Solution
x = {0, -3.464101615, 3.464101615}
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