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Simplifying (6a + -7)(6a + 7) = 0 Reorder the terms: (-7 + 6a)(6a + 7) = 0 Reorder the terms: (-7 + 6a)(7 + 6a) = 0 Multiply (-7 + 6a) * (7 + 6a) (-7(7 + 6a) + 6a * (7 + 6a)) = 0 ((7 * -7 + 6a * -7) + 6a * (7 + 6a)) = 0 ((-49 + -42a) + 6a * (7 + 6a)) = 0 (-49 + -42a + (7 * 6a + 6a * 6a)) = 0 (-49 + -42a + (42a + 36a2)) = 0 Combine like terms: -42a + 42a = 0 (-49 + 0 + 36a2) = 0 (-49 + 36a2) = 0 Solving -49 + 36a2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 36a2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 36a2 = 0 + 49 36a2 = 0 + 49 Combine like terms: 0 + 49 = 49 36a2 = 49 Divide each side by '36'. a2 = 1.361111111 Simplifying a2 = 1.361111111 Take the square root of each side: a = {-1.166666667, 1.166666667}
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