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Simplifying 9y(y + 1) = 4 Reorder the terms: 9y(1 + y) = 4 (1 * 9y + y * 9y) = 4 (9y + 9y2) = 4 Solving 9y + 9y2 = 4 Solving for variable 'y'. Reorder the terms: -4 + 9y + 9y2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 9y + 9y2 = 0 Factor a trinomial. (-4 + -3y)(1 + -3y) = 0Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve: Simplifying -4 + -3y = 0 Solving -4 + -3y = 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 + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 0 + 4 -3y = 0 + 4 Combine like terms: 0 + 4 = 4 -3y = 4 Divide each side by '-3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 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 = {-1.333333333, 0.3333333333}
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