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Simplifying (2y2 + 9y + 4) + (-3y2 + -3y + -9) = 0 Reorder the terms: (4 + 9y + 2y2) + (-3y2 + -3y + -9) = 0 Remove parenthesis around (4 + 9y + 2y2) 4 + 9y + 2y2 + (-3y2 + -3y + -9) = 0 Reorder the terms: 4 + 9y + 2y2 + (-9 + -3y + -3y2) = 0 Remove parenthesis around (-9 + -3y + -3y2) 4 + 9y + 2y2 + -9 + -3y + -3y2 = 0 Reorder the terms: 4 + -9 + 9y + -3y + 2y2 + -3y2 = 0 Combine like terms: 4 + -9 = -5 -5 + 9y + -3y + 2y2 + -3y2 = 0 Combine like terms: 9y + -3y = 6y -5 + 6y + 2y2 + -3y2 = 0 Combine like terms: 2y2 + -3y2 = -1y2 -5 + 6y + -1y2 = 0 Solving -5 + 6y + -1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(1 + -1y) = 0Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Subproblem 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 = {5, 1}
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