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Simplifying (5 + -2y)(4 + 3y) = 0 Multiply (5 + -2y) * (4 + 3y) (5(4 + 3y) + -2y * (4 + 3y)) = 0 ((4 * 5 + 3y * 5) + -2y * (4 + 3y)) = 0 ((20 + 15y) + -2y * (4 + 3y)) = 0 (20 + 15y + (4 * -2y + 3y * -2y)) = 0 (20 + 15y + (-8y + -6y2)) = 0 Combine like terms: 15y + -8y = 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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