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Simplifying (7 + y)(2y + -5) = 0 Reorder the terms: (7 + y)(-5 + 2y) = 0 Multiply (7 + y) * (-5 + 2y) (7(-5 + 2y) + y(-5 + 2y)) = 0 ((-5 * 7 + 2y * 7) + y(-5 + 2y)) = 0 ((-35 + 14y) + y(-5 + 2y)) = 0 (-35 + 14y + (-5 * y + 2y * y)) = 0 (-35 + 14y + (-5y + 2y2)) = 0 Combine like terms: 14y + -5y = 9y (-35 + 9y + 2y2) = 0 Solving -35 + 9y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -1y)(5 + -2y) = 0Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 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 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. 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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