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Simplifying 3y2 + 8y + 6 + -1y + -4 = 0 Reorder the terms: 6 + -4 + 8y + -1y + 3y2 = 0 Combine like terms: 6 + -4 = 2 2 + 8y + -1y + 3y2 = 0 Combine like terms: 8y + -1y = 7y 2 + 7y + 3y2 = 0 Solving 2 + 7y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + y)(1 + 3y) = 0Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 2
Set the factor '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {-2, -0.3333333333}
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