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Simplifying 0 = 20x + x2 + 100 Reorder the terms: 0 = 100 + 20x + x2 Solving 0 = 100 + 20x + x2 Solving for variable 'x'. Combine like terms: 0 + -100 = -100 -100 + -20x + -1x2 = 100 + 20x + x2 + -100 + -20x + -1x2 Reorder the terms: -100 + -20x + -1x2 = 100 + -100 + 20x + -20x + x2 + -1x2 Combine like terms: 100 + -100 = 0 -100 + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2 -100 + -20x + -1x2 = 20x + -20x + x2 + -1x2 Combine like terms: 20x + -20x = 0 -100 + -20x + -1x2 = 0 + x2 + -1x2 -100 + -20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -100 + -20x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(100 + 20x + x2) = 0 Factor a trinomial. -1((10 + x)(10 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {-10, -10}
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