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Simplifying (5y + -7)(5 + -1y) = 0 Reorder the terms: (-7 + 5y)(5 + -1y) = 0 Multiply (-7 + 5y) * (5 + -1y) (-7(5 + -1y) + 5y * (5 + -1y)) = 0 ((5 * -7 + -1y * -7) + 5y * (5 + -1y)) = 0 ((-35 + 7y) + 5y * (5 + -1y)) = 0 (-35 + 7y + (5 * 5y + -1y * 5y)) = 0 (-35 + 7y + (25y + -5y2)) = 0 Combine like terms: 7y + 25y = 32y (-35 + 32y + -5y2) = 0 Solving -35 + 32y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + y)(7 + -5y) = 0Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Subproblem 2
Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 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 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4Solution
y = {5, 1.4}
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