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Simplifying 3y(3y + 8) = 9 Reorder the terms: 3y(8 + 3y) = 9 (8 * 3y + 3y * 3y) = 9 (24y + 9y2) = 9 Solving 24y + 9y2 = 9 Solving for variable 'y'. Reorder the terms: -9 + 24y + 9y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 24y + 9y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 8y + 3y2) = 0 Factor a trinomial. 3((-3 + -1y)(1 + -3y)) = 0 Ignore the factor 3.Subproblem 1
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 = -3Subproblem 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 = {-3, 0.3333333333}
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