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Simplifying (11p + 8)(11p + -8) = 0 Reorder the terms: (8 + 11p)(11p + -8) = 0 Reorder the terms: (8 + 11p)(-8 + 11p) = 0 Multiply (8 + 11p) * (-8 + 11p) (8(-8 + 11p) + 11p * (-8 + 11p)) = 0 ((-8 * 8 + 11p * 8) + 11p * (-8 + 11p)) = 0 ((-64 + 88p) + 11p * (-8 + 11p)) = 0 (-64 + 88p + (-8 * 11p + 11p * 11p)) = 0 (-64 + 88p + (-88p + 121p2)) = 0 Combine like terms: 88p + -88p = 0 (-64 + 0 + 121p2) = 0 (-64 + 121p2) = 0 Solving -64 + 121p2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 121p2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 121p2 = 0 + 64 121p2 = 0 + 64 Combine like terms: 0 + 64 = 64 121p2 = 64 Divide each side by '121'. p2 = 0.5289256198 Simplifying p2 = 0.5289256198 Take the square root of each side: p = {-0.727272727, 0.727272727}
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