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Simplifying 6x2 + -22x + -5808 = 0 Reorder the terms: -5808 + -22x + 6x2 = 0 Solving -5808 + -22x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2904 + -11x + 3x2) = 0 Factor a trinomial. 2((-88 + -3x)(33 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-88 + -3x)' equal to zero and attempt to solve: Simplifying -88 + -3x = 0 Solving -88 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + -3x = 0 + 88 Combine like terms: -88 + 88 = 0 0 + -3x = 0 + 88 -3x = 0 + 88 Combine like terms: 0 + 88 = 88 -3x = 88 Divide each side by '-3'. x = -29.33333333 Simplifying x = -29.33333333Subproblem 2
Set the factor '(33 + -1x)' equal to zero and attempt to solve: Simplifying 33 + -1x = 0 Solving 33 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 0 + -33 -1x = 0 + -33 Combine like terms: 0 + -33 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33Solution
x = {-29.33333333, 33}
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