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