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Simplifying (5p + -3)(5p + 3) = 0 Reorder the terms: (-3 + 5p)(5p + 3) = 0 Reorder the terms: (-3 + 5p)(3 + 5p) = 0 Multiply (-3 + 5p) * (3 + 5p) (-3(3 + 5p) + 5p * (3 + 5p)) = 0 ((3 * -3 + 5p * -3) + 5p * (3 + 5p)) = 0 ((-9 + -15p) + 5p * (3 + 5p)) = 0 (-9 + -15p + (3 * 5p + 5p * 5p)) = 0 (-9 + -15p + (15p + 25p2)) = 0 Combine like terms: -15p + 15p = 0 (-9 + 0 + 25p2) = 0 (-9 + 25p2) = 0 Solving -9 + 25p2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 25p2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 25p2 = 0 + 9 25p2 = 0 + 9 Combine like terms: 0 + 9 = 9 25p2 = 9 Divide each side by '25'. p2 = 0.36 Simplifying p2 = 0.36 Take the square root of each side: p = {-0.6, 0.6}
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