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Simplifying 11x2 + -200x + -400 = 0 Reorder the terms: -400 + -200x + 11x2 = 0 Solving -400 + -200x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -11x)(20 + -1x) = 0Subproblem 1
Set the factor '(-20 + -11x)' equal to zero and attempt to solve: Simplifying -20 + -11x = 0 Solving -20 + -11x = 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 + -11x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = 0 + 20 -11x = 0 + 20 Combine like terms: 0 + 20 = 20 -11x = 20 Divide each side by '-11'. x = -1.818181818 Simplifying x = -1.818181818Subproblem 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 = {-1.818181818, 20}
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