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Simplifying (5y + 6)(5y + 6) = 0 Reorder the terms: (6 + 5y)(5y + 6) = 0 Reorder the terms: (6 + 5y)(6 + 5y) = 0 Multiply (6 + 5y) * (6 + 5y) (6(6 + 5y) + 5y * (6 + 5y)) = 0 ((6 * 6 + 5y * 6) + 5y * (6 + 5y)) = 0 ((36 + 30y) + 5y * (6 + 5y)) = 0 (36 + 30y + (6 * 5y + 5y * 5y)) = 0 (36 + 30y + (30y + 25y2)) = 0 Combine like terms: 30y + 30y = 60y (36 + 60y + 25y2) = 0 Solving 36 + 60y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + 5y)(6 + 5y) = 0Subproblem 1
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Solution
y = {-1.2, -1.2}
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