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Simplifying 6x(3x + 18) = 0 Reorder the terms: 6x(18 + 3x) = 0 (18 * 6x + 3x * 6x) = 0 (108x + 18x2) = 0 Solving 108x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18x'. 18x(6 + x) = 0 Ignore the factor 18.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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