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Simplifying x2 + -190x + 8625 = 0 Reorder the terms: 8625 + -190x + x2 = 0 Solving 8625 + -190x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (75 + -1x)(115 + -1x) = 0Subproblem 1
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Subproblem 2
Set the factor '(115 + -1x)' equal to zero and attempt to solve: Simplifying 115 + -1x = 0 Solving 115 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + -1x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + -1x = 0 + -115 -1x = 0 + -115 Combine like terms: 0 + -115 = -115 -1x = -115 Divide each side by '-1'. x = 115 Simplifying x = 115Solution
x = {75, 115}
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