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Simplifying 11x2 + -6000x + -27500 = 0 Reorder the terms: -27500 + -6000x + 11x2 = 0 Solving -27500 + -6000x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-50 + -11x)(550 + -1x) = 0Subproblem 1
Set the factor '(-50 + -11x)' equal to zero and attempt to solve: Simplifying -50 + -11x = 0 Solving -50 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -11x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -11x = 0 + 50 -11x = 0 + 50 Combine like terms: 0 + 50 = 50 -11x = 50 Divide each side by '-11'. x = -4.545454545 Simplifying x = -4.545454545Subproblem 2
Set the factor '(550 + -1x)' equal to zero and attempt to solve: Simplifying 550 + -1x = 0 Solving 550 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + -1x = 0 + -550 Combine like terms: 550 + -550 = 0 0 + -1x = 0 + -550 -1x = 0 + -550 Combine like terms: 0 + -550 = -550 -1x = -550 Divide each side by '-1'. x = 550 Simplifying x = 550Solution
x = {-4.545454545, 550}
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