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Simplifying 11y(3y + 4) + (3y + 4) = 0 Reorder the terms: 11y(4 + 3y) + (3y + 4) = 0 (4 * 11y + 3y * 11y) + (3y + 4) = 0 (44y + 33y2) + (3y + 4) = 0 Reorder the terms: 44y + 33y2 + (4 + 3y) = 0 Remove parenthesis around (4 + 3y) 44y + 33y2 + 4 + 3y = 0 Reorder the terms: 4 + 44y + 3y + 33y2 = 0 Combine like terms: 44y + 3y = 47y 4 + 47y + 33y2 = 0 Solving 4 + 47y + 33y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + 3y)(1 + 11y) = 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 + 11y)' equal to zero and attempt to solve: Simplifying 1 + 11y = 0 Solving 1 + 11y = 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 + 11y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11y = 0 + -1 11y = 0 + -1 Combine like terms: 0 + -1 = -1 11y = -1 Divide each side by '11'. y = -0.09090909091 Simplifying y = -0.09090909091Solution
y = {-1.333333333, -0.09090909091}
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