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Simplifying -200x2 + 9200x + -96822 = 0 Reorder the terms: -96822 + 9200x + -200x2 = 0 Solving -96822 + 9200x + -200x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-48411 + 4600x + -100x2) = 0 Factor a trinomial. 2((-297 + 10x)(163 + -10x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-297 + 10x)' equal to zero and attempt to solve: Simplifying -297 + 10x = 0 Solving -297 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '297' to each side of the equation. -297 + 297 + 10x = 0 + 297 Combine like terms: -297 + 297 = 0 0 + 10x = 0 + 297 10x = 0 + 297 Combine like terms: 0 + 297 = 297 10x = 297 Divide each side by '10'. x = 29.7 Simplifying x = 29.7Subproblem 2
Set the factor '(163 + -10x)' equal to zero and attempt to solve: Simplifying 163 + -10x = 0 Solving 163 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-163' to each side of the equation. 163 + -163 + -10x = 0 + -163 Combine like terms: 163 + -163 = 0 0 + -10x = 0 + -163 -10x = 0 + -163 Combine like terms: 0 + -163 = -163 -10x = -163 Divide each side by '-10'. x = 16.3 Simplifying x = 16.3Solution
x = {29.7, 16.3}
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