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Simplifying 9x(x + 3) = 22 Reorder the terms: 9x(3 + x) = 22 (3 * 9x + x * 9x) = 22 (27x + 9x2) = 22 Solving 27x + 9x2 = 22 Solving for variable 'x'. Reorder the terms: -22 + 27x + 9x2 = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + 27x + 9x2 = 0 Factor a trinomial. (-11 + -3x)(2 + -3x) = 0Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 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 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 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 = {-3.666666667, 0.6666666667}
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