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Simplifying 2x2 + -15x = 500 Reorder the terms: -15x + 2x2 = 500 Solving -15x + 2x2 = 500 Solving for variable 'x'. Reorder the terms: -500 + -15x + 2x2 = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + -15x + 2x2 = 0 Factor a trinomial. (-25 + -2x)(20 + -1x) = 0Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve: Simplifying -25 + -2x = 0 Solving -25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x = 0 + 25 -2x = 0 + 25 Combine like terms: 0 + 25 = 25 -2x = 25 Divide each side by '-2'. x = -12.5 Simplifying x = -12.5Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-12.5, 20}
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