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Simplifying 9x2 + -18x + -22 = -6 Reorder the terms: -22 + -18x + 9x2 = -6 Solving -22 + -18x + 9x2 = -6 Solving for variable 'x'. Reorder the terms: -22 + 6 + -18x + 9x2 = -6 + 6 Combine like terms: -22 + 6 = -16 -16 + -18x + 9x2 = -6 + 6 Combine like terms: -6 + 6 = 0 -16 + -18x + 9x2 = 0 Factor a trinomial. (-2 + -3x)(8 + -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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-0.6666666667, 2.666666667}
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