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Simplifying (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 = 0 (4 + 0 + -9a2) = 0 (4 + -9a2) = 0 Solving 4 + -9a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9a2 = 0 + -4 -9a2 = 0 + -4 Combine like terms: 0 + -4 = -4 -9a2 = -4 Divide each side by '-9'. a2 = 0.4444444444 Simplifying a2 = 0.4444444444 Take the square root of each side: a = {-0.666666667, 0.666666667}
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