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Simplifying (7x)(2x + 36) = 0 Remove parenthesis around (7x) 7x(2x + 36) = 0 Reorder the terms: 7x(36 + 2x) = 0 (36 * 7x + 2x * 7x) = 0 (252x + 14x2) = 0 Solving 252x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14x'. 14x(18 + x) = 0 Ignore the factor 14.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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {0, -18}
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