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Simplifying (2y + -7)(3 + y) = 0 Reorder the terms: (-7 + 2y)(3 + y) = 0 Multiply (-7 + 2y) * (3 + y) (-7(3 + y) + 2y * (3 + y)) = 0 ((3 * -7 + y * -7) + 2y * (3 + y)) = 0 ((-21 + -7y) + 2y * (3 + y)) = 0 (-21 + -7y + (3 * 2y + y * 2y)) = 0 (-21 + -7y + (6y + 2y2)) = 0 Combine like terms: -7y + 6y = -1y (-21 + -1y + 2y2) = 0 Solving -21 + -1y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y)(7 + -2y) = 0Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve: Simplifying -3 + -1y = 0 Solving -3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3Subproblem 2
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 = 3.5Solution
y = {-3, 3.5}
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