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Simplifying 0 = 3x2 + x + -80 Reorder the terms: 0 = -80 + x + 3x2 Solving 0 = -80 + x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 80 = 80 80 + -1x + -3x2 = -80 + x + 3x2 + 80 + -1x + -3x2 Reorder the terms: 80 + -1x + -3x2 = -80 + 80 + x + -1x + 3x2 + -3x2 Combine like terms: -80 + 80 = 0 80 + -1x + -3x2 = 0 + x + -1x + 3x2 + -3x2 80 + -1x + -3x2 = x + -1x + 3x2 + -3x2 Combine like terms: x + -1x = 0 80 + -1x + -3x2 = 0 + 3x2 + -3x2 80 + -1x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 80 + -1x + -3x2 = 0 Factor a trinomial. (5 + -1x)(16 + 3x) = 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 '(16 + 3x)' equal to zero and attempt to solve: Simplifying 16 + 3x = 0 Solving 16 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 0 + -16 3x = 0 + -16 Combine like terms: 0 + -16 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333Solution
x = {5, -5.333333333}
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