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Simplifying 3y2 + 4y + 4 = 8 Reorder the terms: 4 + 4y + 3y2 = 8 Solving 4 + 4y + 3y2 = 8 Solving for variable 'y'. Reorder the terms: 4 + -8 + 4y + 3y2 = 8 + -8 Combine like terms: 4 + -8 = -4 -4 + 4y + 3y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -4 + 4y + 3y2 = 0 Factor a trinomial. (-2 + -1y)(2 + -3y) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 0.6666666667}
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