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Simplifying 5x2 + 100x + 750 = 36375 Reorder the terms: 750 + 100x + 5x2 = 36375 Solving 750 + 100x + 5x2 = 36375 Solving for variable 'x'. Reorder the terms: 750 + -36375 + 100x + 5x2 = 36375 + -36375 Combine like terms: 750 + -36375 = -35625 -35625 + 100x + 5x2 = 36375 + -36375 Combine like terms: 36375 + -36375 = 0 -35625 + 100x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-7125 + 20x + x2) = 0 Factor a trinomial. 5((-95 + -1x)(75 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-95 + -1x)' equal to zero and attempt to solve: Simplifying -95 + -1x = 0 Solving -95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '95' to each side of the equation. -95 + 95 + -1x = 0 + 95 Combine like terms: -95 + 95 = 0 0 + -1x = 0 + 95 -1x = 0 + 95 Combine like terms: 0 + 95 = 95 -1x = 95 Divide each side by '-1'. x = -95 Simplifying x = -95Subproblem 2
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 = 75Solution
x = {-95, 75}
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