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Simplifying 9x2 + -101x + 260 = 0 Reorder the terms: 260 + -101x + 9x2 = 0 Solving 260 + -101x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(65 + -9x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(65 + -9x)' equal to zero and attempt to solve: Simplifying 65 + -9x = 0 Solving 65 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -9x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -9x = 0 + -65 -9x = 0 + -65 Combine like terms: 0 + -65 = -65 -9x = -65 Divide each side by '-9'. x = 7.222222222 Simplifying x = 7.222222222Solution
x = {4, 7.222222222}
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