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Simplifying 85 = (x)(4x + -3) Reorder the terms: 85 = x(-3 + 4x) 85 = (-3 * x + 4x * x) 85 = (-3x + 4x2) Solving 85 = -3x + 4x2 Solving for variable 'x'. Reorder the terms: 85 + 3x + -4x2 = -3x + 3x + 4x2 + -4x2 Combine like terms: -3x + 3x = 0 85 + 3x + -4x2 = 0 + 4x2 + -4x2 85 + 3x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 85 + 3x + -4x2 = 0 Factor a trinomial. (5 + -1x)(17 + 4x) = 0Subproblem 1
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 = 5Subproblem 2
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 = -4.25Solution
x = {5, -4.25}
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