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Simplifying (2y + 10)(2y + 10) = 0 Reorder the terms: (10 + 2y)(2y + 10) = 0 Reorder the terms: (10 + 2y)(10 + 2y) = 0 Multiply (10 + 2y) * (10 + 2y) (10(10 + 2y) + 2y * (10 + 2y)) = 0 ((10 * 10 + 2y * 10) + 2y * (10 + 2y)) = 0 ((100 + 20y) + 2y * (10 + 2y)) = 0 (100 + 20y + (10 * 2y + 2y * 2y)) = 0 (100 + 20y + (20y + 4y2)) = 0 Combine like terms: 20y + 20y = 40y (100 + 40y + 4y2) = 0 Solving 100 + 40y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(25 + 10y + y2) = 0 Factor a trinomial. 4((5 + y)(5 + y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {-5, -5}
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