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Simplifying 6y2 + -41y + -7 = 0 Reorder the terms: -7 + -41y + 6y2 = 0 Solving -7 + -41y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -6y)(7 + -1y) = 0Subproblem 1
Set the factor '(-1 + -6y)' equal to zero and attempt to solve: Simplifying -1 + -6y = 0 Solving -1 + -6y = 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 + -6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6y = 0 + 1 -6y = 0 + 1 Combine like terms: 0 + 1 = 1 -6y = 1 Divide each side by '-6'. y = -0.1666666667 Simplifying y = -0.1666666667Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-0.1666666667, 7}
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