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Simplifying 0 = 2x2 + -10x + -100 Reorder the terms: 0 = -100 + -10x + 2x2 Solving 0 = -100 + -10x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 100 = 100 100 + 10x + -2x2 = -100 + -10x + 2x2 + 100 + 10x + -2x2 Reorder the terms: 100 + 10x + -2x2 = -100 + 100 + -10x + 10x + 2x2 + -2x2 Combine like terms: -100 + 100 = 0 100 + 10x + -2x2 = 0 + -10x + 10x + 2x2 + -2x2 100 + 10x + -2x2 = -10x + 10x + 2x2 + -2x2 Combine like terms: -10x + 10x = 0 100 + 10x + -2x2 = 0 + 2x2 + -2x2 100 + 10x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 100 + 10x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(50 + 5x + -1x2) = 0 Factor a trinomial. 2((10 + -1x)(5 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {10, -5}
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