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Simplifying (3 + -1y)(2y + -7) = 0 Reorder the terms: (3 + -1y)(-7 + 2y) = 0 Multiply (3 + -1y) * (-7 + 2y) (3(-7 + 2y) + -1y * (-7 + 2y)) = 0 ((-7 * 3 + 2y * 3) + -1y * (-7 + 2y)) = 0 ((-21 + 6y) + -1y * (-7 + 2y)) = 0 (-21 + 6y + (-7 * -1y + 2y * -1y)) = 0 (-21 + 6y + (7y + -2y2)) = 0 Combine like terms: 6y + 7y = 13y (-21 + 13y + -2y2) = 0 Solving -21 + 13y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + 2y)(3 + -1y) = 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 '(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 = 3Solution
y = {3.5, 3}
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