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Simplifying (6 + -5y)(1 + -6y) = 0 Multiply (6 + -5y) * (1 + -6y) (6(1 + -6y) + -5y * (1 + -6y)) = 0 ((1 * 6 + -6y * 6) + -5y * (1 + -6y)) = 0 ((6 + -36y) + -5y * (1 + -6y)) = 0 (6 + -36y + (1 * -5y + -6y * -5y)) = 0 (6 + -36y + (-5y + 30y2)) = 0 Combine like terms: -36y + -5y = -41y (6 + -41y + 30y2) = 0 Solving 6 + -41y + 30y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -6y)(6 + -5y) = 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 '(6 + -5y)' equal to zero and attempt to solve: Simplifying 6 + -5y = 0 Solving 6 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = 0 + -6 -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2Solution
y = {0.1666666667, 1.2}
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