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Simplifying (3q + 2)(3q + 2) = 0 Reorder the terms: (2 + 3q)(3q + 2) = 0 Reorder the terms: (2 + 3q)(2 + 3q) = 0 Multiply (2 + 3q) * (2 + 3q) (2(2 + 3q) + 3q * (2 + 3q)) = 0 ((2 * 2 + 3q * 2) + 3q * (2 + 3q)) = 0 ((4 + 6q) + 3q * (2 + 3q)) = 0 (4 + 6q + (2 * 3q + 3q * 3q)) = 0 (4 + 6q + (6q + 9q2)) = 0 Combine like terms: 6q + 6q = 12q (4 + 12q + 9q2) = 0 Solving 4 + 12q + 9q2 = 0 Solving for variable 'q'. Factor a trinomial. (2 + 3q)(2 + 3q) = 0Subproblem 1
Set the factor '(2 + 3q)' equal to zero and attempt to solve: Simplifying 2 + 3q = 0 Solving 2 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = 0 + -2 3q = 0 + -2 Combine like terms: 0 + -2 = -2 3q = -2 Divide each side by '3'. q = -0.6666666667 Simplifying q = -0.6666666667Subproblem 2
Set the factor '(2 + 3q)' equal to zero and attempt to solve: Simplifying 2 + 3q = 0 Solving 2 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = 0 + -2 3q = 0 + -2 Combine like terms: 0 + -2 = -2 3q = -2 Divide each side by '3'. q = -0.6666666667 Simplifying q = -0.6666666667Solution
q = {-0.6666666667, -0.6666666667}
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