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Simplifying (4 + 3y)(3 + y) = 0 Multiply (4 + 3y) * (3 + y) (4(3 + y) + 3y * (3 + y)) = 0 ((3 * 4 + y * 4) + 3y * (3 + y)) = 0 ((12 + 4y) + 3y * (3 + y)) = 0 (12 + 4y + (3 * 3y + y * 3y)) = 0 (12 + 4y + (9y + 3y2)) = 0 Combine like terms: 4y + 9y = 13y (12 + 13y + 3y2) = 0 Solving 12 + 13y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + y)(4 + 3y) = 0Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Subproblem 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 = {-3, -1.333333333}
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