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Simplifying 6x2 + 104x + 320 = 0 Reorder the terms: 320 + 104x + 6x2 = 0 Solving 320 + 104x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(160 + 52x + 3x2) = 0 Factor a trinomial. 2((40 + 3x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(40 + 3x)' equal to zero and attempt to solve: Simplifying 40 + 3x = 0 Solving 40 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 0 + -40 3x = 0 + -40 Combine like terms: 0 + -40 = -40 3x = -40 Divide each side by '3'. x = -13.33333333 Simplifying x = -13.33333333Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-13.33333333, -4}
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