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Simplifying 0 = 12x3 + -24x2 Reorder the terms: 0 = -24x2 + 12x3 Solving 0 = -24x2 + 12x3 Solving for variable 'x'. Remove the zero: 24x2 + -12x3 = -24x2 + 12x3 + 24x2 + -12x3 Reorder the terms: 24x2 + -12x3 = -24x2 + 24x2 + 12x3 + -12x3 Combine like terms: -24x2 + 24x2 = 0 24x2 + -12x3 = 0 + 12x3 + -12x3 24x2 + -12x3 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 24x2 + -12x3 = 0 Factor out the Greatest Common Factor (GCF), '12x2'. 12x2(2 + -1x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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