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Simplifying (2x + 18)(4x) = 0 Reorder the terms: (18 + 2x)(4x) = 0 Remove parenthesis around (4x) (18 + 2x) * 4x = 0 Reorder the terms for easier multiplication: 4x(18 + 2x) = 0 (18 * 4x + 2x * 4x) = 0 (72x + 8x2) = 0 Solving 72x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(9 + x) = 0 Ignore the factor 8.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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, -9}
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