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Simplifying (3 + y)(5y + -1) = 0 Reorder the terms: (3 + y)(-1 + 5y) = 0 Multiply (3 + y) * (-1 + 5y) (3(-1 + 5y) + y(-1 + 5y)) = 0 ((-1 * 3 + 5y * 3) + y(-1 + 5y)) = 0 ((-3 + 15y) + y(-1 + 5y)) = 0 (-3 + 15y + (-1 * y + 5y * y)) = 0 (-3 + 15y + (-1y + 5y2)) = 0 Combine like terms: 15y + -1y = 14y (-3 + 14y + 5y2) = 0 Solving -3 + 14y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y)(1 + -5y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
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 = 0.2Solution
y = {-3, 0.2}
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