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Simplifying 0 = -6x + -2x2 Solving 0 = -6x + -2x2 Solving for variable 'x'. Remove the zero: 6x + 2x2 = -6x + -2x2 + 6x + 2x2 Reorder the terms: 6x + 2x2 = -6x + 6x + -2x2 + 2x2 Combine like terms: -6x + 6x = 0 6x + 2x2 = 0 + -2x2 + 2x2 6x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + x) = 0 Ignore the factor 2.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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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