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Simplifying (-2y + 5)(-2y + 5) = 0 Reorder the terms: (5 + -2y)(-2y + 5) = 0 Reorder the terms: (5 + -2y)(5 + -2y) = 0 Multiply (5 + -2y) * (5 + -2y) (5(5 + -2y) + -2y * (5 + -2y)) = 0 ((5 * 5 + -2y * 5) + -2y * (5 + -2y)) = 0 ((25 + -10y) + -2y * (5 + -2y)) = 0 (25 + -10y + (5 * -2y + -2y * -2y)) = 0 (25 + -10y + (-10y + 4y^{2})) = 0 Combine like terms: -10y + -10y = -20y (25 + -20y + 4y^{2}) = 0 Solving 25 + -20y + 4y^{2}= 0 Solving for variable 'y'. Factor a trinomial. (5 + -2y)(5 + -2y) = 0## Subproblem 1

Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5## Subproblem 2

Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5## Solution

y = {2.5, 2.5}

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