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Simplifying 3x2 + -160x + 2000 = 0 Reorder the terms: 2000 + -160x + 3x2 = 0 Solving 2000 + -160x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + -1x)(100 + -3x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(100 + -3x)' equal to zero and attempt to solve: Simplifying 100 + -3x = 0 Solving 100 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 0 + -100 -3x = 0 + -100 Combine like terms: 0 + -100 = -100 -3x = -100 Divide each side by '-3'. x = 33.33333333 Simplifying x = 33.33333333Solution
x = {20, 33.33333333}
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