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Simplifying 3y2 + -10y + -32 = 0 Reorder the terms: -32 + -10y + 3y2 = 0 Solving -32 + -10y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(16 + -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 '(16 + -3y)' equal to zero and attempt to solve: Simplifying 16 + -3y = 0 Solving 16 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3y = 0 + -16 -3y = 0 + -16 Combine like terms: 0 + -16 = -16 -3y = -16 Divide each side by '-3'. y = 5.333333333 Simplifying y = 5.333333333Solution
y = {-2, 5.333333333}
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