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Simplifying (7 + -2y)(5 + y) = 0 Multiply (7 + -2y) * (5 + y) (7(5 + y) + -2y * (5 + y)) = 0 ((5 * 7 + y * 7) + -2y * (5 + y)) = 0 ((35 + 7y) + -2y * (5 + y)) = 0 (35 + 7y + (5 * -2y + y * -2y)) = 0 (35 + 7y + (-10y + -2y2)) = 0 Combine like terms: 7y + -10y = -3y (35 + -3y + -2y2) = 0 Solving 35 + -3y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -2y)(5 + y) = 0Subproblem 1
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Subproblem 2
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 = -5Solution
y = {3.5, -5}
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