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Simplifying (r + -5)(r2 + 5r + 25) = 0 Reorder the terms: (-5 + r)(r2 + 5r + 25) = 0 Reorder the terms: (-5 + r)(25 + 5r + r2) = 0 Multiply (-5 + r) * (25 + 5r + r2) (-5(25 + 5r + r2) + r(25 + 5r + r2)) = 0 ((25 * -5 + 5r * -5 + r2 * -5) + r(25 + 5r + r2)) = 0 ((-125 + -25r + -5r2) + r(25 + 5r + r2)) = 0 (-125 + -25r + -5r2 + (25 * r + 5r * r + r2 * r)) = 0 (-125 + -25r + -5r2 + (25r + 5r2 + r3)) = 0 Reorder the terms: (-125 + -25r + 25r + -5r2 + 5r2 + r3) = 0 Combine like terms: -25r + 25r = 0 (-125 + 0 + -5r2 + 5r2 + r3) = 0 (-125 + -5r2 + 5r2 + r3) = 0 Combine like terms: -5r2 + 5r2 = 0 (-125 + 0 + r3) = 0 (-125 + r3) = 0 Solving -125 + r3 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + r3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + r3 = 0 + 125 r3 = 0 + 125 Combine like terms: 0 + 125 = 125 r3 = 125 Simplifying r3 = 125 Reorder the terms: -125 + r3 = 125 + -125 Combine like terms: 125 + -125 = 0 -125 + r3 = 0 The solution to this equation could not be determined.
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