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Simplifying 36y2 + -15y + 1 = 0 Reorder the terms: 1 + -15y + 36y2 = 0 Solving 1 + -15y + 36y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -12y)(1 + -3y) = 0Subproblem 1
Set the factor '(1 + -12y)' equal to zero and attempt to solve: Simplifying 1 + -12y = 0 Solving 1 + -12y = 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 + -12y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12y = 0 + -1 -12y = 0 + -1 Combine like terms: 0 + -1 = -1 -12y = -1 Divide each side by '-12'. y = 0.08333333333 Simplifying y = 0.08333333333Subproblem 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 = {0.08333333333, 0.3333333333}
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