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Simplifying 0 = 3y2 + y + -10 Reorder the terms: 0 = -10 + y + 3y2 Solving 0 = -10 + y + 3y2 Solving for variable 'y'. Combine like terms: 0 + 10 = 10 10 + -1y + -3y2 = -10 + y + 3y2 + 10 + -1y + -3y2 Reorder the terms: 10 + -1y + -3y2 = -10 + 10 + y + -1y + 3y2 + -3y2 Combine like terms: -10 + 10 = 0 10 + -1y + -3y2 = 0 + y + -1y + 3y2 + -3y2 10 + -1y + -3y2 = y + -1y + 3y2 + -3y2 Combine like terms: y + -1y = 0 10 + -1y + -3y2 = 0 + 3y2 + -3y2 10 + -1y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 10 + -1y + -3y2 = 0 Factor a trinomial. (5 + -3y)(2 + y) = 0Subproblem 1
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Subproblem 2
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 = -2Solution
y = {1.666666667, -2}
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