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Simplifying (3a + -4)(3a + 4) = 0 Reorder the terms: (-4 + 3a)(3a + 4) = 0 Reorder the terms: (-4 + 3a)(4 + 3a) = 0 Multiply (-4 + 3a) * (4 + 3a) (-4(4 + 3a) + 3a * (4 + 3a)) = 0 ((4 * -4 + 3a * -4) + 3a * (4 + 3a)) = 0 ((-16 + -12a) + 3a * (4 + 3a)) = 0 (-16 + -12a + (4 * 3a + 3a * 3a)) = 0 (-16 + -12a + (12a + 9a2)) = 0 Combine like terms: -12a + 12a = 0 (-16 + 0 + 9a2) = 0 (-16 + 9a2) = 0 Solving -16 + 9a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9a2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9a2 = 0 + 16 9a2 = 0 + 16 Combine like terms: 0 + 16 = 16 9a2 = 16 Divide each side by '9'. a2 = 1.777777778 Simplifying a2 = 1.777777778 Take the square root of each side: a = {-1.333333333, 1.333333333}
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