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Simplifying (3y + -1)(3 + -1y) = 0 Reorder the terms: (-1 + 3y)(3 + -1y) = 0 Multiply (-1 + 3y) * (3 + -1y) (-1(3 + -1y) + 3y * (3 + -1y)) = 0 ((3 * -1 + -1y * -1) + 3y * (3 + -1y)) = 0 ((-3 + 1y) + 3y * (3 + -1y)) = 0 (-3 + 1y + (3 * 3y + -1y * 3y)) = 0 (-3 + 1y + (9y + -3y2)) = 0 Combine like terms: 1y + 9y = 10y (-3 + 10y + -3y2) = 0 Solving -3 + 10y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + y)(1 + -3y) = 0Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 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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