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Simplifying 9x2 + -155x + -500 = 0 Reorder the terms: -500 + -155x + 9x2 = 0 Solving -500 + -155x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -9x)(20 + -1x) = 0Subproblem 1
Set the factor '(-25 + -9x)' equal to zero and attempt to solve: Simplifying -25 + -9x = 0 Solving -25 + -9x = 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 + -9x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -9x = 0 + 25 -9x = 0 + 25 Combine like terms: 0 + 25 = 25 -9x = 25 Divide each side by '-9'. x = -2.777777778 Simplifying x = -2.777777778Subproblem 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 = {-2.777777778, 20}
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