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Simplifying 0 = -3x2 + 110x + 2000 Reorder the terms: 0 = 2000 + 110x + -3x2 Solving 0 = 2000 + 110x + -3x2 Solving for variable 'x'. Combine like terms: 0 + -2000 = -2000 -2000 + -110x + 3x2 = 2000 + 110x + -3x2 + -2000 + -110x + 3x2 Reorder the terms: -2000 + -110x + 3x2 = 2000 + -2000 + 110x + -110x + -3x2 + 3x2 Combine like terms: 2000 + -2000 = 0 -2000 + -110x + 3x2 = 0 + 110x + -110x + -3x2 + 3x2 -2000 + -110x + 3x2 = 110x + -110x + -3x2 + 3x2 Combine like terms: 110x + -110x = 0 -2000 + -110x + 3x2 = 0 + -3x2 + 3x2 -2000 + -110x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -2000 + -110x + 3x2 = 0 Factor a trinomial. (-40 + -3x)(50 + -1x) = 0Subproblem 1
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 = -13.33333333Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {-13.33333333, 50}
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