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Simplifying 3x2 + -200x + 3000 = 500 Reorder the terms: 3000 + -200x + 3x2 = 500 Solving 3000 + -200x + 3x2 = 500 Solving for variable 'x'. Reorder the terms: 3000 + -500 + -200x + 3x2 = 500 + -500 Combine like terms: 3000 + -500 = 2500 2500 + -200x + 3x2 = 500 + -500 Combine like terms: 500 + -500 = 0 2500 + -200x + 3x2 = 0 Factor a trinomial. (50 + -3x)(50 + -1x) = 0Subproblem 1
Set the factor '(50 + -3x)' equal to zero and attempt to solve: Simplifying 50 + -3x = 0 Solving 50 + -3x = 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 + -3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -3x = 0 + -50 -3x = 0 + -50 Combine like terms: 0 + -50 = -50 -3x = -50 Divide each side by '-3'. x = 16.66666667 Simplifying x = 16.66666667Subproblem 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 = {16.66666667, 50}
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