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Simplifying -11x2 + 1210x + -26400 = 0 Reorder the terms: -26400 + 1210x + -11x2 = 0 Solving -26400 + 1210x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '11'. 11(-2400 + 110x + -1x2) = 0 Factor a trinomial. 11((-80 + x)(30 + -1x)) = 0 Ignore the factor 11.Subproblem 1
Set the factor '(-80 + x)' equal to zero and attempt to solve: Simplifying -80 + x = 0 Solving -80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + x = 0 + 80 x = 0 + 80 Combine like terms: 0 + 80 = 80 x = 80 Simplifying x = 80Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {80, 30}
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