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Simplifying (12a + 1)(12a + -1) = 100 Reorder the terms: (1 + 12a)(12a + -1) = 100 Reorder the terms: (1 + 12a)(-1 + 12a) = 100 Multiply (1 + 12a) * (-1 + 12a) (1(-1 + 12a) + 12a * (-1 + 12a)) = 100 ((-1 * 1 + 12a * 1) + 12a * (-1 + 12a)) = 100 ((-1 + 12a) + 12a * (-1 + 12a)) = 100 (-1 + 12a + (-1 * 12a + 12a * 12a)) = 100 (-1 + 12a + (-12a + 144a2)) = 100 Combine like terms: 12a + -12a = 0 (-1 + 0 + 144a2) = 100 (-1 + 144a2) = 100 Solving -1 + 144a2 = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 144a2 = 100 + 1 Combine like terms: -1 + 1 = 0 0 + 144a2 = 100 + 1 144a2 = 100 + 1 Combine like terms: 100 + 1 = 101 144a2 = 101 Divide each side by '144'. a2 = 0.7013888889 Simplifying a2 = 0.7013888889 Take the square root of each side: a = {-0.837489635, 0.837489635}
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