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Simplifying 80x2 + 660x + 1360 = 0 Reorder the terms: 1360 + 660x + 80x2 = 0 Solving 1360 + 660x + 80x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20'. 20(68 + 33x + 4x2) = 0 Factor a trinomial. 20((17 + 4x)(4 + x)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(17 + 4x)' equal to zero and attempt to solve: Simplifying 17 + 4x = 0 Solving 17 + 4x = 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 + 4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 0 + -17 4x = 0 + -17 Combine like terms: 0 + -17 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25Subproblem 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 = {-4.25, -4}
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