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Simplifying 6y2 + -31y + 14 = 0 Reorder the terms: 14 + -31y + 6y2 = 0 Solving 14 + -31y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(14 + -3y) = 0Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Subproblem 2
Set the factor '(14 + -3y)' equal to zero and attempt to solve: Simplifying 14 + -3y = 0 Solving 14 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = 0 + -14 -3y = 0 + -14 Combine like terms: 0 + -14 = -14 -3y = -14 Divide each side by '-3'. y = 4.666666667 Simplifying y = 4.666666667Solution
y = {0.5, 4.666666667}
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