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Simplifying (7 + y)(2y + -1) = 0 Reorder the terms: (7 + y)(-1 + 2y) = 0 Multiply (7 + y) * (-1 + 2y) (7(-1 + 2y) + y(-1 + 2y)) = 0 ((-1 * 7 + 2y * 7) + y(-1 + 2y)) = 0 ((-7 + 14y) + y(-1 + 2y)) = 0 (-7 + 14y + (-1 * y + 2y * y)) = 0 (-7 + 14y + (-1y + 2y2)) = 0 Combine like terms: 14y + -1y = 13y (-7 + 13y + 2y2) = 0 Solving -7 + 13y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -1y)(1 + -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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-7, 0.5}
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