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Simplifying (6y + -5)(6y + -5) = 0 Reorder the terms: (-5 + 6y)(6y + -5) = 0 Reorder the terms: (-5 + 6y)(-5 + 6y) = 0 Multiply (-5 + 6y) * (-5 + 6y) (-5(-5 + 6y) + 6y * (-5 + 6y)) = 0 ((-5 * -5 + 6y * -5) + 6y * (-5 + 6y)) = 0 ((25 + -30y) + 6y * (-5 + 6y)) = 0 (25 + -30y + (-5 * 6y + 6y * 6y)) = 0 (25 + -30y + (-30y + 36y2)) = 0 Combine like terms: -30y + -30y = -60y (25 + -60y + 36y2) = 0 Solving 25 + -60y + 36y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -6y)(5 + -6y) = 0Subproblem 1
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 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 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 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 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {0.8333333333, 0.8333333333}
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