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Simplifying -3x2 + 573x + -5940 = 0 Reorder the terms: -5940 + 573x + -3x2 = 0 Solving -5940 + 573x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1980 + 191x + -1x2) = 0 Factor a trinomial. 3((-180 + x)(11 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-180 + x)' equal to zero and attempt to solve: Simplifying -180 + x = 0 Solving -180 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + x = 0 + 180 x = 0 + 180 Combine like terms: 0 + 180 = 180 x = 180 Simplifying x = 180Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {180, 11}
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