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Simplifying (3y + -5)(3 + -4y) = 0 Reorder the terms: (-5 + 3y)(3 + -4y) = 0 Multiply (-5 + 3y) * (3 + -4y) (-5(3 + -4y) + 3y * (3 + -4y)) = 0 ((3 * -5 + -4y * -5) + 3y * (3 + -4y)) = 0 ((-15 + 20y) + 3y * (3 + -4y)) = 0 (-15 + 20y + (3 * 3y + -4y * 3y)) = 0 (-15 + 20y + (9y + -12y2)) = 0 Combine like terms: 20y + 9y = 29y (-15 + 29y + -12y2) = 0 Solving -15 + 29y + -12y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + 3y)(3 + -4y) = 0Subproblem 1
Set the factor '(-5 + 3y)' equal to zero and attempt to solve: Simplifying -5 + 3y = 0 Solving -5 + 3y = 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 + 3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 0 + 5 3y = 0 + 5 Combine like terms: 0 + 5 = 5 3y = 5 Divide each side by '3'. y = 1.666666667 Simplifying y = 1.666666667Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {1.666666667, 0.75}
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