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Simplifying (3a + -2)(3a + -2) = 0 Reorder the terms: (-2 + 3a)(3a + -2) = 0 Reorder the terms: (-2 + 3a)(-2 + 3a) = 0 Multiply (-2 + 3a) * (-2 + 3a) (-2(-2 + 3a) + 3a * (-2 + 3a)) = 0 ((-2 * -2 + 3a * -2) + 3a * (-2 + 3a)) = 0 ((4 + -6a) + 3a * (-2 + 3a)) = 0 (4 + -6a + (-2 * 3a + 3a * 3a)) = 0 (4 + -6a + (-6a + 9a2)) = 0 Combine like terms: -6a + -6a = -12a (4 + -12a + 9a2) = 0 Solving 4 + -12a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + -3a)(2 + -3a) = 0Subproblem 1
Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Subproblem 2
Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Solution
a = {0.6666666667, 0.6666666667}
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