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Simplifying 0 = 2y2 + y + -28 Reorder the terms: 0 = -28 + y + 2y2 Solving 0 = -28 + y + 2y2 Solving for variable 'y'. Combine like terms: 0 + 28 = 28 28 + -1y + -2y2 = -28 + y + 2y2 + 28 + -1y + -2y2 Reorder the terms: 28 + -1y + -2y2 = -28 + 28 + y + -1y + 2y2 + -2y2 Combine like terms: -28 + 28 = 0 28 + -1y + -2y2 = 0 + y + -1y + 2y2 + -2y2 28 + -1y + -2y2 = y + -1y + 2y2 + -2y2 Combine like terms: y + -1y = 0 28 + -1y + -2y2 = 0 + 2y2 + -2y2 28 + -1y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 28 + -1y + -2y2 = 0 Factor a trinomial. (7 + -2y)(4 + y) = 0Subproblem 1
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {3.5, -4}
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