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Simplifying 6200 = x2 + -10x + 4200 Reorder the terms: 6200 = 4200 + -10x + x2 Solving 6200 = 4200 + -10x + x2 Solving for variable 'x'. Combine like terms: 6200 + -4200 = 2000 2000 + 10x + -1x2 = 4200 + -10x + x2 + -4200 + 10x + -1x2 Reorder the terms: 2000 + 10x + -1x2 = 4200 + -4200 + -10x + 10x + x2 + -1x2 Combine like terms: 4200 + -4200 = 0 2000 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 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. (50 + -1x)(40 + x) = 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 '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 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 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {50, -40}
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