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Simplifying -6x2 + -6(x + -6) * x = 0 Reorder the terms: -6x2 + -6(-6 + x) * x = 0 Reorder the terms for easier multiplication: -6x2 + -6x(-6 + x) = 0 -6x2 + (-6 * -6x + x * -6x) = 0 -6x2 + (36x + -6x2) = 0 Reorder the terms: 36x + -6x2 + -6x2 = 0 Combine like terms: -6x2 + -6x2 = -12x2 36x + -12x2 = 0 Solving 36x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(3 + -1x) = 0 Ignore the factor 12.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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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