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Simplifying (5y + -1)(y + -6) = 0 Reorder the terms: (-1 + 5y)(y + -6) = 0 Reorder the terms: (-1 + 5y)(-6 + y) = 0 Multiply (-1 + 5y) * (-6 + y) (-1(-6 + y) + 5y * (-6 + y)) = 0 ((-6 * -1 + y * -1) + 5y * (-6 + y)) = 0 ((6 + -1y) + 5y * (-6 + y)) = 0 (6 + -1y + (-6 * 5y + y * 5y)) = 0 (6 + -1y + (-30y + 5y2)) = 0 Combine like terms: -1y + -30y = -31y (6 + -31y + 5y2) = 0 Solving 6 + -31y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -5y)(6 + -1y) = 0Subproblem 1
Set the factor '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 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 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {0.2, 6}
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