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Simplifying 9x2 + -18x + 11 = 3 Reorder the terms: 11 + -18x + 9x2 = 3 Solving 11 + -18x + 9x2 = 3 Solving for variable 'x'. Reorder the terms: 11 + -3 + -18x + 9x2 = 3 + -3 Combine like terms: 11 + -3 = 8 8 + -18x + 9x2 = 3 + -3 Combine like terms: 3 + -3 = 0 8 + -18x + 9x2 = 0 Factor a trinomial. (2 + -3x)(4 + -3x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0.6666666667, 1.333333333}
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