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Simplifying (5 + y)(5y + -3) = 0 Reorder the terms: (5 + y)(-3 + 5y) = 0 Multiply (5 + y) * (-3 + 5y) (5(-3 + 5y) + y(-3 + 5y)) = 0 ((-3 * 5 + 5y * 5) + y(-3 + 5y)) = 0 ((-15 + 25y) + y(-3 + 5y)) = 0 (-15 + 25y + (-3 * y + 5y * y)) = 0 (-15 + 25y + (-3y + 5y2)) = 0 Combine like terms: 25y + -3y = 22y (-15 + 22y + 5y2) = 0 Solving -15 + 22y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -1y)(3 + -5y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {-5, 0.6}
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