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Simplifying 80x + -3x2 = 325 Solving 80x + -3x2 = 325 Solving for variable 'x'. Reorder the terms: -325 + 80x + -3x2 = 325 + -325 Combine like terms: 325 + -325 = 0 -325 + 80x + -3x2 = 0 Factor a trinomial. (-65 + 3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-65 + 3x)' equal to zero and attempt to solve: Simplifying -65 + 3x = 0 Solving -65 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 3x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 3x = 0 + 65 3x = 0 + 65 Combine like terms: 0 + 65 = 65 3x = 65 Divide each side by '3'. x = 21.66666667 Simplifying x = 21.66666667Subproblem 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 = {21.66666667, 5}
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