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Simplifying (2y + -3)(3y + -2) = 0 Reorder the terms: (-3 + 2y)(3y + -2) = 0 Reorder the terms: (-3 + 2y)(-2 + 3y) = 0 Multiply (-3 + 2y) * (-2 + 3y) (-3(-2 + 3y) + 2y * (-2 + 3y)) = 0 ((-2 * -3 + 3y * -3) + 2y * (-2 + 3y)) = 0 ((6 + -9y) + 2y * (-2 + 3y)) = 0 (6 + -9y + (-2 * 2y + 3y * 2y)) = 0 (6 + -9y + (-4y + 6y2)) = 0 Combine like terms: -9y + -4y = -13y (6 + -13y + 6y2) = 0 Solving 6 + -13y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -3y)(3 + -2y) = 0Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {0.6666666667, 1.5}
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