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Simplifying (2y + -5)(7 + -1y) = 0 Reorder the terms: (-5 + 2y)(7 + -1y) = 0 Multiply (-5 + 2y) * (7 + -1y) (-5(7 + -1y) + 2y * (7 + -1y)) = 0 ((7 * -5 + -1y * -5) + 2y * (7 + -1y)) = 0 ((-35 + 5y) + 2y * (7 + -1y)) = 0 (-35 + 5y + (7 * 2y + -1y * 2y)) = 0 (-35 + 5y + (14y + -2y2)) = 0 Combine like terms: 5y + 14y = 19y (-35 + 19y + -2y2) = 0 Solving -35 + 19y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + y)(5 + -2y) = 0Subproblem 1
Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 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 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {7, 2.5}
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