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Simplifying (5y + 1)(6y + -5) = 0 Reorder the terms: (1 + 5y)(6y + -5) = 0 Reorder the terms: (1 + 5y)(-5 + 6y) = 0 Multiply (1 + 5y) * (-5 + 6y) (1(-5 + 6y) + 5y * (-5 + 6y)) = 0 ((-5 * 1 + 6y * 1) + 5y * (-5 + 6y)) = 0 ((-5 + 6y) + 5y * (-5 + 6y)) = 0 (-5 + 6y + (-5 * 5y + 6y * 5y)) = 0 (-5 + 6y + (-25y + 30y2)) = 0 Combine like terms: 6y + -25y = -19y (-5 + -19y + 30y2) = 0 Solving -5 + -19y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -5y)(5 + -6y) = 0Subproblem 1
Set the factor '(-1 + -5y)' equal to zero and attempt to solve: Simplifying -1 + -5y = 0 Solving -1 + -5y = 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 + -5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5y = 0 + 1 -5y = 0 + 1 Combine like terms: 0 + 1 = 1 -5y = 1 Divide each side by '-5'. y = -0.2 Simplifying y = -0.2Subproblem 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 = {-0.2, 0.8333333333}
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