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Simplifying 9x2 + -114x + 361 = 0 Reorder the terms: 361 + -114x + 9x2 = 0 Solving 361 + -114x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + -3x)(19 + -3x) = 0Subproblem 1
Set the factor '(19 + -3x)' equal to zero and attempt to solve: Simplifying 19 + -3x = 0 Solving 19 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 0 + -19 -3x = 0 + -19 Combine like terms: 0 + -19 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333Subproblem 2
Set the factor '(19 + -3x)' equal to zero and attempt to solve: Simplifying 19 + -3x = 0 Solving 19 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 0 + -19 -3x = 0 + -19 Combine like terms: 0 + -19 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333Solution
x = {6.333333333, 6.333333333}
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