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Simplifying 3(r + -5)(r + 5) = 0 Reorder the terms: 3(-5 + r)(r + 5) = 0 Reorder the terms: 3(-5 + r)(5 + r) = 0 Multiply (-5 + r) * (5 + r) 3(-5(5 + r) + r(5 + r)) = 0 3((5 * -5 + r * -5) + r(5 + r)) = 0 3((-25 + -5r) + r(5 + r)) = 0 3(-25 + -5r + (5 * r + r * r)) = 0 3(-25 + -5r + (5r + r2)) = 0 Combine like terms: -5r + 5r = 0 3(-25 + 0 + r2) = 0 3(-25 + r2) = 0 (-25 * 3 + r2 * 3) = 0 (-75 + 3r2) = 0 Solving -75 + 3r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 3r2 = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 3r2 = 0 + 75 3r2 = 0 + 75 Combine like terms: 0 + 75 = 75 3r2 = 75 Divide each side by '3'. r2 = 25 Simplifying r2 = 25 Take the square root of each side: r = {-5, 5}
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