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Simplifying 9x2 + -490x + 2000 = 0 Reorder the terms: 2000 + -490x + 9x2 = 0 Solving 2000 + -490x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (40 + -9x)(50 + -1x) = 0Subproblem 1
Set the factor '(40 + -9x)' equal to zero and attempt to solve: Simplifying 40 + -9x = 0 Solving 40 + -9x = 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 + -9x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = 0 + -40 -9x = 0 + -40 Combine like terms: 0 + -40 = -40 -9x = -40 Divide each side by '-9'. x = 4.444444444 Simplifying x = 4.444444444Subproblem 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 = {4.444444444, 50}
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