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Simplifying x2 + -350x + 15000 = 0 Reorder the terms: 15000 + -350x + x2 = 0 Solving 15000 + -350x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (50 + -1x)(300 + -1x) = 0Subproblem 1
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 = 50Subproblem 2
Set the factor '(300 + -1x)' equal to zero and attempt to solve: Simplifying 300 + -1x = 0 Solving 300 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + -1x = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -1x = 0 + -300 -1x = 0 + -300 Combine like terms: 0 + -300 = -300 -1x = -300 Divide each side by '-1'. x = 300 Simplifying x = 300Solution
x = {50, 300}
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