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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. (-8 + -3x)(2 + -3x) = 0Subproblem 1
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 = -2.666666667Subproblem 2
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 = 0.6666666667Solution
x = {-2.666666667, 0.6666666667}
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