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Simplifying 3y(y + -3) + -4(y + -3) = 0 Reorder the terms: 3y(-3 + y) + -4(y + -3) = 0 (-3 * 3y + y * 3y) + -4(y + -3) = 0 (-9y + 3y2) + -4(y + -3) = 0 Reorder the terms: -9y + 3y2 + -4(-3 + y) = 0 -9y + 3y2 + (-3 * -4 + y * -4) = 0 -9y + 3y2 + (12 + -4y) = 0 Reorder the terms: 12 + -9y + -4y + 3y2 = 0 Combine like terms: -9y + -4y = -13y 12 + -13y + 3y2 = 0 Solving 12 + -13y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -3y)(3 + -1y) = 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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {1.333333333, 3}
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