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Simplifying (3y + -2)(2y + 1) = 0 Reorder the terms: (-2 + 3y)(2y + 1) = 0 Reorder the terms: (-2 + 3y)(1 + 2y) = 0 Multiply (-2 + 3y) * (1 + 2y) (-2(1 + 2y) + 3y * (1 + 2y)) = 0 ((1 * -2 + 2y * -2) + 3y * (1 + 2y)) = 0 ((-2 + -4y) + 3y * (1 + 2y)) = 0 (-2 + -4y + (1 * 3y + 2y * 3y)) = 0 (-2 + -4y + (3y + 6y2)) = 0 Combine like terms: -4y + 3y = -1y (-2 + -1y + 6y2) = 0 Solving -2 + -1y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -2y)(2 + -3y) = 0Subproblem 1
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 = -0.5Subproblem 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 = {-0.5, 0.6666666667}
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