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Simplifying 16x2 + 6x + -85 = 0 Reorder the terms: -85 + 6x + 16x2 = 0 Solving -85 + 6x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(17 + -8x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(17 + -8x)' equal to zero and attempt to solve: Simplifying 17 + -8x = 0 Solving 17 + -8x = 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 + -8x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 0 + -17 -8x = 0 + -17 Combine like terms: 0 + -17 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125Solution
x = {-2.5, 2.125}
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