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Simplifying (3y + -4)(y + 2) = 0 Reorder the terms: (-4 + 3y)(y + 2) = 0 Reorder the terms: (-4 + 3y)(2 + y) = 0 Multiply (-4 + 3y) * (2 + y) (-4(2 + y) + 3y * (2 + y)) = 0 ((2 * -4 + y * -4) + 3y * (2 + y)) = 0 ((-8 + -4y) + 3y * (2 + y)) = 0 (-8 + -4y + (2 * 3y + y * 3y)) = 0 (-8 + -4y + (6y + 3y2)) = 0 Combine like terms: -4y + 6y = 2y (-8 + 2y + 3y2) = 0 Solving -8 + 2y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(4 + -3y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 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, 1.333333333}
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