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Simplifying 9(x + 3 + 15) * x = 0 Reorder the terms: 9(3 + 15 + x) * x = 0 Combine like terms: 3 + 15 = 18 9(18 + x) * x = 0 Reorder the terms for easier multiplication: 9x(18 + x) = 0 (18 * 9x + x * 9x) = 0 (162x + 9x2) = 0 Solving 162x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(18 + x) = 0 Ignore the factor 9.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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