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Simplifying 20x2 + -10x = 100 Reorder the terms: -10x + 20x2 = 100 Solving -10x + 20x2 = 100 Solving for variable 'x'. Reorder the terms: -100 + -10x + 20x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + -10x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-10 + -1x + 2x2) = 0 Factor a trinomial. 10((-2 + -1x)(5 + -2x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-2, 2.5}
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