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Simplifying x2 + 20x + 100x = 0 Reorder the terms: 20x + 100x + x2 = 0 Combine like terms: 20x + 100x = 120x 120x + x2 = 0 Solving 120x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(120 + x) = 0Subproblem 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 '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120Solution
x = {0, -120}
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