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Simplifying 3y(5y + 9) = 6 Reorder the terms: 3y(9 + 5y) = 6 (9 * 3y + 5y * 3y) = 6 (27y + 15y2) = 6 Solving 27y + 15y2 = 6 Solving for variable 'y'. Reorder the terms: -6 + 27y + 15y2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 27y + 15y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 9y + 5y2) = 0 Factor a trinomial. 3((-2 + -1y)(1 + -5y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2Solution
y = {-2, 0.2}
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