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Simplifying (3y + -7)(3 + -1y) = 0 Reorder the terms: (-7 + 3y)(3 + -1y) = 0 Multiply (-7 + 3y) * (3 + -1y) (-7(3 + -1y) + 3y * (3 + -1y)) = 0 ((3 * -7 + -1y * -7) + 3y * (3 + -1y)) = 0 ((-21 + 7y) + 3y * (3 + -1y)) = 0 (-21 + 7y + (3 * 3y + -1y * 3y)) = 0 (-21 + 7y + (9y + -3y2)) = 0 Combine like terms: 7y + 9y = 16y (-21 + 16y + -3y2) = 0 Solving -21 + 16y + -3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + y)(7 + -3y) = 0Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {3, 2.333333333}
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