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Simplifying 3y2 + 2y + -56 = 0 Reorder the terms: -56 + 2y + 3y2 = 0 Solving -56 + 2y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-14 + -3y)(4 + -1y) = 0Subproblem 1
Set the factor '(-14 + -3y)' equal to zero and attempt to solve: Simplifying -14 + -3y = 0 Solving -14 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3y = 0 + 14 -3y = 0 + 14 Combine like terms: 0 + 14 = 14 -3y = 14 Divide each side by '-3'. y = -4.666666667 Simplifying y = -4.666666667Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-4.666666667, 4}
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