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