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Simplifying (4y + 3)(3y + -2) = 0 Reorder the terms: (3 + 4y)(3y + -2) = 0 Reorder the terms: (3 + 4y)(-2 + 3y) = 0 Multiply (3 + 4y) * (-2 + 3y) (3(-2 + 3y) + 4y * (-2 + 3y)) = 0 ((-2 * 3 + 3y * 3) + 4y * (-2 + 3y)) = 0 ((-6 + 9y) + 4y * (-2 + 3y)) = 0 (-6 + 9y + (-2 * 4y + 3y * 4y)) = 0 (-6 + 9y + (-8y + 12y2)) = 0 Combine like terms: 9y + -8y = 1y (-6 + 1y + 12y2) = 0 Solving -6 + 1y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -4y)(2 + -3y) = 0Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {-0.75, 0.6666666667}
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