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Simplifying 4x2 + -3x + -20 = 65 Reorder the terms: -20 + -3x + 4x2 = 65 Solving -20 + -3x + 4x2 = 65 Solving for variable 'x'. Reorder the terms: -20 + -65 + -3x + 4x2 = 65 + -65 Combine like terms: -20 + -65 = -85 -85 + -3x + 4x2 = 65 + -65 Combine like terms: 65 + -65 = 0 -85 + -3x + 4x2 = 0 Factor a trinomial. (-17 + -4x)(5 + -1x) = 0Subproblem 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4.25, 5}
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