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Simplifying (6a + 5p)(6a + -5p) = 0 Multiply (6a + 5p) * (6a + -5p) (6a * (6a + -5p) + 5p * (6a + -5p)) = 0 ((6a * 6a + -5p * 6a) + 5p * (6a + -5p)) = 0 Reorder the terms: ((-30ap + 36a2) + 5p * (6a + -5p)) = 0 ((-30ap + 36a2) + 5p * (6a + -5p)) = 0 (-30ap + 36a2 + (6a * 5p + -5p * 5p)) = 0 (-30ap + 36a2 + (30ap + -25p2)) = 0 Reorder the terms: (-30ap + 30ap + 36a2 + -25p2) = 0 Combine like terms: -30ap + 30ap = 0 (0 + 36a2 + -25p2) = 0 (36a2 + -25p2) = 0 Solving 36a2 + -25p2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25p2' to each side of the equation. 36a2 + -25p2 + 25p2 = 0 + 25p2 Combine like terms: -25p2 + 25p2 = 0 36a2 + 0 = 0 + 25p2 36a2 = 0 + 25p2 Remove the zero: 36a2 = 25p2 Divide each side by '36'. a2 = 0.6944444444p2 Simplifying a2 = 0.6944444444p2 Take the square root of each side: a = {-0.833333333p, 0.833333333p}
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