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Simplifying (y + -5)(y + 5) = 0 Reorder the terms: (-5 + y)(y + 5) = 0 Reorder the terms: (-5 + y)(5 + y) = 0 Multiply (-5 + y) * (5 + y) (-5(5 + y) + y(5 + y)) = 0 ((5 * -5 + y * -5) + y(5 + y)) = 0 ((-25 + -5y) + y(5 + y)) = 0 (-25 + -5y + (5 * y + y * y)) = 0 (-25 + -5y + (5y + y2)) = 0 Combine like terms: -5y + 5y = 0 (-25 + 0 + y2) = 0 (-25 + y2) = 0 Solving -25 + y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + y2 = 0 + 25 y2 = 0 + 25 Combine like terms: 0 + 25 = 25 y2 = 25 Simplifying y2 = 25 Take the square root of each side: y = {-5, 5}
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