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Simplifying 10x2 + -90x = -200 Reorder the terms: -90x + 10x2 = -200 Solving -90x + 10x2 = -200 Solving for variable 'x'. Reorder the terms: 200 + -90x + 10x2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + -90x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(20 + -9x + x2) = 0 Factor a trinomial. 10((4 + -1x)(5 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {4, 5}
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