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Simplifying 2y2 + -3y + 5 + -1y2 + 6y + -9 = 0 Reorder the terms: 5 + -9 + -3y + 6y + 2y2 + -1y2 = 0 Combine like terms: 5 + -9 = -4 -4 + -3y + 6y + 2y2 + -1y2 = 0 Combine like terms: -3y + 6y = 3y -4 + 3y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 -4 + 3y + 1y2 = 0 Solving -4 + 3y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y)(1 + -1y) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-4, 1}
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