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Simplifying (3y + -1)(y + 4) = 0 Reorder the terms: (-1 + 3y)(y + 4) = 0 Reorder the terms: (-1 + 3y)(4 + y) = 0 Multiply (-1 + 3y) * (4 + y) (-1(4 + y) + 3y * (4 + y)) = 0 ((4 * -1 + y * -1) + 3y * (4 + y)) = 0 ((-4 + -1y) + 3y * (4 + y)) = 0 (-4 + -1y + (4 * 3y + y * 3y)) = 0 (-4 + -1y + (12y + 3y2)) = 0 Combine like terms: -1y + 12y = 11y (-4 + 11y + 3y2) = 0 Solving -4 + 11y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y)(1 + -3y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {-4, 0.3333333333}
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