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Simplifying -1x2 + 515x + -7500 = 0 Reorder the terms: -7500 + 515x + -1x2 = 0 Solving -7500 + 515x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-500 + x)(15 + -1x) = 0Subproblem 1
Set the factor '(-500 + x)' equal to zero and attempt to solve: Simplifying -500 + x = 0 Solving -500 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + x = 0 + 500 Combine like terms: -500 + 500 = 0 0 + x = 0 + 500 x = 0 + 500 Combine like terms: 0 + 500 = 500 x = 500 Simplifying x = 500Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {500, 15}
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