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Simplifying 12x2 + -110x + -408 = 0 Reorder the terms: -408 + -110x + 12x2 = 0 Solving -408 + -110x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-204 + -55x + 6x2) = 0 Factor a trinomial. 2((-17 + -6x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-17 + -6x)' equal to zero and attempt to solve: Simplifying -17 + -6x = 0 Solving -17 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 0 + 17 -6x = 0 + 17 Combine like terms: 0 + 17 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-2.833333333, 12}
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