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Simplifying 9x2 + 35x + -1250 = 0 Reorder the terms: -1250 + 35x + 9x2 = 0 Solving -1250 + 35x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-125 + -9x)(10 + -1x) = 0Subproblem 1
Set the factor '(-125 + -9x)' equal to zero and attempt to solve: Simplifying -125 + -9x = 0 Solving -125 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -9x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -9x = 0 + 125 -9x = 0 + 125 Combine like terms: 0 + 125 = 125 -9x = 125 Divide each side by '-9'. x = -13.88888889 Simplifying x = -13.88888889Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-13.88888889, 10}
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