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