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Simplifying 2000 = x2 + 10x Reorder the terms: 2000 = 10x + x2 Solving 2000 = 10x + x2 Solving for variable 'x'. Reorder the terms: 2000 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 2000 + -10x + -1x2 = 0 + x2 + -1x2 2000 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2000 + -10x + -1x2 = 0 Factor a trinomial. (40 + -1x)(50 + x) = 0Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 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 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve: Simplifying 50 + x = 0 Solving 50 + x = 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 + x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + x = 0 + -50 x = 0 + -50 Combine like terms: 0 + -50 = -50 x = -50 Simplifying x = -50Solution
x = {40, -50}
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