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Simplifying 27x(x + 11) = 0 Reorder the terms: 27x(11 + x) = 0 (11 * 27x + x * 27x) = 0 (297x + 27x2) = 0 Solving 297x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '27x'. 27x(11 + x) = 0 Ignore the factor 27.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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {0, -11}
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