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Simplifying -200x2 + 8200x + -81872 = 0 Reorder the terms: -81872 + 8200x + -200x2 = 0 Solving -81872 + 8200x + -200x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(-10234 + 1025x + -25x2) = 0 Factor a trinomial. 8((-119 + 5x)(86 + -5x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-119 + 5x)' equal to zero and attempt to solve: Simplifying -119 + 5x = 0 Solving -119 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + 5x = 0 + 119 Combine like terms: -119 + 119 = 0 0 + 5x = 0 + 119 5x = 0 + 119 Combine like terms: 0 + 119 = 119 5x = 119 Divide each side by '5'. x = 23.8 Simplifying x = 23.8Subproblem 2
Set the factor '(86 + -5x)' equal to zero and attempt to solve: Simplifying 86 + -5x = 0 Solving 86 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + -5x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -5x = 0 + -86 -5x = 0 + -86 Combine like terms: 0 + -86 = -86 -5x = -86 Divide each side by '-5'. x = 17.2 Simplifying x = 17.2Solution
x = {23.8, 17.2}
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