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Simplifying (3y + -4)(6y + -5) = 0 Reorder the terms: (-4 + 3y)(6y + -5) = 0 Reorder the terms: (-4 + 3y)(-5 + 6y) = 0 Multiply (-4 + 3y) * (-5 + 6y) (-4(-5 + 6y) + 3y * (-5 + 6y)) = 0 ((-5 * -4 + 6y * -4) + 3y * (-5 + 6y)) = 0 ((20 + -24y) + 3y * (-5 + 6y)) = 0 (20 + -24y + (-5 * 3y + 6y * 3y)) = 0 (20 + -24y + (-15y + 18y2)) = 0 Combine like terms: -24y + -15y = -39y (20 + -39y + 18y2) = 0 Solving 20 + -39y + 18y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -6y)(4 + -3y) = 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 '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {0.8333333333, 1.333333333}
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