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Simplifying 18x2 + 21x + -22 = 0 Reorder the terms: -22 + 21x + 18x2 = 0 Solving -22 + 21x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -6x)(2 + -3x) = 0Subproblem 1
Set the factor '(-11 + -6x)' equal to zero and attempt to solve: Simplifying -11 + -6x = 0 Solving -11 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 0 + 11 -6x = 0 + 11 Combine like terms: 0 + 11 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333Subproblem 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 = {-1.833333333, 0.6666666667}
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