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Simplifying 5(y + -5)(6y + -1) = 0 Reorder the terms: 5(-5 + y)(6y + -1) = 0 Reorder the terms: 5(-5 + y)(-1 + 6y) = 0 Multiply (-5 + y) * (-1 + 6y) 5(-5(-1 + 6y) + y(-1 + 6y)) = 0 5((-1 * -5 + 6y * -5) + y(-1 + 6y)) = 0 5((5 + -30y) + y(-1 + 6y)) = 0 5(5 + -30y + (-1 * y + 6y * y)) = 0 5(5 + -30y + (-1y + 6y2)) = 0 Combine like terms: -30y + -1y = -31y 5(5 + -31y + 6y2) = 0 (5 * 5 + -31y * 5 + 6y2 * 5) = 0 (25 + -155y + 30y2) = 0 Solving 25 + -155y + 30y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -31y + 6y2) = 0 Factor a trinomial. 5((1 + -6y)(5 + -1y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 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 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {0.1666666667, 5}
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