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Simplifying 16x2 + -59x + -20 = 0 Reorder the terms: -20 + -59x + 16x2 = 0 Solving -20 + -59x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -16x)(4 + -1x) = 0Subproblem 1
Set the factor '(-5 + -16x)' equal to zero and attempt to solve: Simplifying -5 + -16x = 0 Solving -5 + -16x = 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 + -16x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = 0 + 5 -16x = 0 + 5 Combine like terms: 0 + 5 = 5 -16x = 5 Divide each side by '-16'. x = -0.3125 Simplifying x = -0.3125Subproblem 2
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 = 4Solution
x = {-0.3125, 4}
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