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Simplifying 3x2 + -400x + 12800 = 0 Reorder the terms: 12800 + -400x + 3x2 = 0 Solving 12800 + -400x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (160 + -3x)(80 + -1x) = 0Subproblem 1
Set the factor '(160 + -3x)' equal to zero and attempt to solve: Simplifying 160 + -3x = 0 Solving 160 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -3x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -3x = 0 + -160 -3x = 0 + -160 Combine like terms: 0 + -160 = -160 -3x = -160 Divide each side by '-3'. x = 53.33333333 Simplifying x = 53.33333333Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {53.33333333, 80}
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