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Simplifying 9x2 + -127x + 414 = 0 Reorder the terms: 414 + -127x + 9x2 = 0 Solving 414 + -127x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (46 + -9x)(9 + -1x) = 0Subproblem 1
Set the factor '(46 + -9x)' equal to zero and attempt to solve: Simplifying 46 + -9x = 0 Solving 46 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -9x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -9x = 0 + -46 -9x = 0 + -46 Combine like terms: 0 + -46 = -46 -9x = -46 Divide each side by '-9'. x = 5.111111111 Simplifying x = 5.111111111Subproblem 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 = {5.111111111, 9}
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