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Simplifying x(x + 15) + 18x(x + 15) = 0 Reorder the terms: x(15 + x) + 18x(x + 15) = 0 (15 * x + x * x) + 18x(x + 15) = 0 (15x + x2) + 18x(x + 15) = 0 Reorder the terms: 15x + x2 + 18x(15 + x) = 0 15x + x2 + (15 * 18x + x * 18x) = 0 15x + x2 + (270x + 18x2) = 0 Reorder the terms: 15x + 270x + x2 + 18x2 = 0 Combine like terms: 15x + 270x = 285x 285x + x2 + 18x2 = 0 Combine like terms: x2 + 18x2 = 19x2 285x + 19x2 = 0 Solving 285x + 19x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '19x'. 19x(15 + x) = 0 Ignore the factor 19.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 '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {0, -15}
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