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Simplifying (3y + -4)(2y + 5) = 0 Reorder the terms: (-4 + 3y)(2y + 5) = 0 Reorder the terms: (-4 + 3y)(5 + 2y) = 0 Multiply (-4 + 3y) * (5 + 2y) (-4(5 + 2y) + 3y * (5 + 2y)) = 0 ((5 * -4 + 2y * -4) + 3y * (5 + 2y)) = 0 ((-20 + -8y) + 3y * (5 + 2y)) = 0 (-20 + -8y + (5 * 3y + 2y * 3y)) = 0 (-20 + -8y + (15y + 6y2)) = 0 Combine like terms: -8y + 15y = 7y (-20 + 7y + 6y2) = 0 Solving -20 + 7y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(4 + -3y) = 0Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve: Simplifying -5 + -2y = 0 Solving -5 + -2y = 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 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 0 + 5 -2y = 0 + 5 Combine like terms: 0 + 5 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5Subproblem 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 = {-2.5, 1.333333333}
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