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Simplifying 22x2 + 28x + -240 = 0 Reorder the terms: -240 + 28x + 22x2 = 0 Solving -240 + 28x + 22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-120 + 14x + 11x2) = 0 Factor a trinomial. 2((-4 + -1x)(30 + -11x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(30 + -11x)' equal to zero and attempt to solve: Simplifying 30 + -11x = 0 Solving 30 + -11x = 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 + -11x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = 0 + -30 -11x = 0 + -30 Combine like terms: 0 + -30 = -30 -11x = -30 Divide each side by '-11'. x = 2.727272727 Simplifying x = 2.727272727Solution
x = {-4, 2.727272727}
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