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Simplifying (9x2) + -131x + 450 = 0 Reorder the terms: 450 + -131x + (9x2) = 0 Solving 450 + -131x + (9x2) = 0 Solving for variable 'x'. Factor a trinomial. (50 + -9x)(9 + -1x) = 0Subproblem 1
Set the factor '(50 + -9x)' equal to zero and attempt to solve: Simplifying 50 + -9x = 0 Solving 50 + -9x = 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 + -9x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -9x = 0 + -50 -9x = 0 + -50 Combine like terms: 0 + -50 = -50 -9x = -50 Divide each side by '-9'. x = 5.555555556 Simplifying x = 5.555555556Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {5.555555556, 9}
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