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Simplifying (5y + 5)(5y + 5) = 0 Reorder the terms: (5 + 5y)(5y + 5) = 0 Reorder the terms: (5 + 5y)(5 + 5y) = 0 Multiply (5 + 5y) * (5 + 5y) (5(5 + 5y) + 5y * (5 + 5y)) = 0 ((5 * 5 + 5y * 5) + 5y * (5 + 5y)) = 0 ((25 + 25y) + 5y * (5 + 5y)) = 0 (25 + 25y + (5 * 5y + 5y * 5y)) = 0 (25 + 25y + (25y + 25y2)) = 0 Combine like terms: 25y + 25y = 50y (25 + 50y + 25y2) = 0 Solving 25 + 50y + 25y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '25'. 25(1 + 2y + y2) = 0 Factor a trinomial. 25((1 + y)(1 + y)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1, -1}
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