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Simplifying (3x + 2)(3x + 2) = 0 Reorder the terms: (2 + 3x)(3x + 2) = 0 Reorder the terms: (2 + 3x)(2 + 3x) = 0 Multiply (2 + 3x) * (2 + 3x) (2(2 + 3x) + 3x * (2 + 3x)) = 0 ((2 * 2 + 3x * 2) + 3x * (2 + 3x)) = 0 ((4 + 6x) + 3x * (2 + 3x)) = 0 (4 + 6x + (2 * 3x + 3x * 3x)) = 0 (4 + 6x + (6x + 9x2)) = 0 Combine like terms: 6x + 6x = 12x (4 + 12x + 9x2) = 0 Solving 4 + 12x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 3x)(2 + 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 '(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 = {-0.6666666667, -0.6666666667}
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