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Simplifying 6x2 + -22x + -3780 = 0 Reorder the terms: -3780 + -22x + 6x2 = 0 Solving -3780 + -22x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1890 + -11x + 3x2) = 0 Factor a trinomial. 2((-70 + -3x)(27 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-70 + -3x)' equal to zero and attempt to solve: Simplifying -70 + -3x = 0 Solving -70 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -3x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -3x = 0 + 70 -3x = 0 + 70 Combine like terms: 0 + 70 = 70 -3x = 70 Divide each side by '-3'. x = -23.33333333 Simplifying x = -23.33333333Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {-23.33333333, 27}
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