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Simplifying (12x)(12x + 11) = 0 Remove parenthesis around (12x) 12x(12x + 11) = 0 Reorder the terms: 12x(11 + 12x) = 0 (11 * 12x + 12x * 12x) = 0 (132x + 144x2) = 0 Solving 132x + 144x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(11 + 12x) = 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 '(11 + 12x)' equal to zero and attempt to solve: Simplifying 11 + 12x = 0 Solving 11 + 12x = 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 + 12x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 0 + -11 12x = 0 + -11 Combine like terms: 0 + -11 = -11 12x = -11 Divide each side by '12'. x = -0.9166666667 Simplifying x = -0.9166666667Solution
x = {0, -0.9166666667}
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