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Simplifying (x + 18)(6x)(3x) = 0 Reorder the terms: (18 + x)(6x)(3x) = 0 Remove parenthesis around (6x) (18 + x) * 6x(3x) = 0 Remove parenthesis around (3x) (18 + x) * 6x * 3x = 0 Reorder the terms for easier multiplication: 6 * 3x * x(18 + x) = 0 Multiply 6 * 3 18x * x(18 + x) = 0 Multiply x * x 18x2(18 + x) = 0 (18 * 18x2 + x * 18x2) = 0 (324x2 + 18x3) = 0 Solving 324x2 + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18x2'. 18x2(18 + x) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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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