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Simplifying (-5 + 8p)(5 + 8p) = 0 Multiply (-5 + 8p) * (5 + 8p) (-5(5 + 8p) + 8p * (5 + 8p)) = 0 ((5 * -5 + 8p * -5) + 8p * (5 + 8p)) = 0 ((-25 + -40p) + 8p * (5 + 8p)) = 0 (-25 + -40p + (5 * 8p + 8p * 8p)) = 0 (-25 + -40p + (40p + 64p2)) = 0 Combine like terms: -40p + 40p = 0 (-25 + 0 + 64p2) = 0 (-25 + 64p2) = 0 Solving -25 + 64p2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 64p2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 64p2 = 0 + 25 64p2 = 0 + 25 Combine like terms: 0 + 25 = 25 64p2 = 25 Divide each side by '64'. p2 = 0.390625 Simplifying p2 = 0.390625 Take the square root of each side: p = {-0.625, 0.625}
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