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Simplifying 9x2 + -54x + 17 = 0 Reorder the terms: 17 + -54x + 9x2 = 0 Solving 17 + -54x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -3x)(17 + -3x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(17 + -3x)' equal to zero and attempt to solve: Simplifying 17 + -3x = 0 Solving 17 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 0 + -17 -3x = 0 + -17 Combine like terms: 0 + -17 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667Solution
x = {0.3333333333, 5.666666667}
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