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Simplifying 11x2 + 125x + -187500 = 0 Reorder the terms: -187500 + 125x + 11x2 = 0 Solving -187500 + 125x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1500 + -11x)(125 + -1x) = 0Subproblem 1
Set the factor '(-1500 + -11x)' equal to zero and attempt to solve: Simplifying -1500 + -11x = 0 Solving -1500 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '1500' to each side of the equation. -1500 + 1500 + -11x = 0 + 1500 Combine like terms: -1500 + 1500 = 0 0 + -11x = 0 + 1500 -11x = 0 + 1500 Combine like terms: 0 + 1500 = 1500 -11x = 1500 Divide each side by '-11'. x = -136.3636364 Simplifying x = -136.3636364Subproblem 2
Set the factor '(125 + -1x)' equal to zero and attempt to solve: Simplifying 125 + -1x = 0 Solving 125 + -1x = 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 + -1x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1x = 0 + -125 -1x = 0 + -125 Combine like terms: 0 + -125 = -125 -1x = -125 Divide each side by '-1'. x = 125 Simplifying x = 125Solution
x = {-136.3636364, 125}
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