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Simplifying (3y + 4)(2y + -1) = 0 Reorder the terms: (4 + 3y)(2y + -1) = 0 Reorder the terms: (4 + 3y)(-1 + 2y) = 0 Multiply (4 + 3y) * (-1 + 2y) (4(-1 + 2y) + 3y * (-1 + 2y)) = 0 ((-1 * 4 + 2y * 4) + 3y * (-1 + 2y)) = 0 ((-4 + 8y) + 3y * (-1 + 2y)) = 0 (-4 + 8y + (-1 * 3y + 2y * 3y)) = 0 (-4 + 8y + (-3y + 6y2)) = 0 Combine like terms: 8y + -3y = 5y (-4 + 5y + 6y2) = 0 Solving -4 + 5y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -3y)(1 + -2y) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-1.333333333, 0.5}
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