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Simplifying 0 = 3x(x + 6) Reorder the terms: 0 = 3x(6 + x) 0 = (6 * 3x + x * 3x) 0 = (18x + 3x2) Solving 0 = 18x + 3x2 Solving for variable 'x'. Remove the zero: -18x + -3x2 = 18x + 3x2 + -18x + -3x2 Reorder the terms: -18x + -3x2 = 18x + -18x + 3x2 + -3x2 Combine like terms: 18x + -18x = 0 -18x + -3x2 = 0 + 3x2 + -3x2 -18x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(6 + x) = 0 Ignore the factor -3.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -6}
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