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Simplifying 3200 + 200x + -3x2 = 0 Solving 3200 + 200x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (80 + -1x)(40 + 3x) = 0Subproblem 1
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 = 80Subproblem 2
Set the factor '(40 + 3x)' equal to zero and attempt to solve: Simplifying 40 + 3x = 0 Solving 40 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 0 + -40 3x = 0 + -40 Combine like terms: 0 + -40 = -40 3x = -40 Divide each side by '3'. x = -13.33333333 Simplifying x = -13.33333333Solution
x = {80, -13.33333333}
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