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Simplifying 9y2 + -2y + 3 = 4y + 2 Reorder the terms: 3 + -2y + 9y2 = 4y + 2 Reorder the terms: 3 + -2y + 9y2 = 2 + 4y Solving 3 + -2y + 9y2 = 2 + 4y Solving for variable 'y'. Reorder the terms: 3 + -2 + -2y + -4y + 9y2 = 2 + 4y + -2 + -4y Combine like terms: 3 + -2 = 1 1 + -2y + -4y + 9y2 = 2 + 4y + -2 + -4y Combine like terms: -2y + -4y = -6y 1 + -6y + 9y2 = 2 + 4y + -2 + -4y Reorder the terms: 1 + -6y + 9y2 = 2 + -2 + 4y + -4y Combine like terms: 2 + -2 = 0 1 + -6y + 9y2 = 0 + 4y + -4y 1 + -6y + 9y2 = 4y + -4y Combine like terms: 4y + -4y = 0 1 + -6y + 9y2 = 0 Factor a trinomial. (1 + -3y)(1 + -3y) = 0Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {0.3333333333, 0.3333333333}
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