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Simplifying 3y2 + 4y + -224 = 0 Reorder the terms: -224 + 4y + 3y2 = 0 Solving -224 + 4y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-28 + -3y)(8 + -1y) = 0Subproblem 1
Set the factor '(-28 + -3y)' equal to zero and attempt to solve: Simplifying -28 + -3y = 0 Solving -28 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -3y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3y = 0 + 28 -3y = 0 + 28 Combine like terms: 0 + 28 = 28 -3y = 28 Divide each side by '-3'. y = -9.333333333 Simplifying y = -9.333333333Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-9.333333333, 8}
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