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Simplifying (3y7 + -1)(y7 + 9) = 0 Reorder the terms: (-1 + 3y7)(y7 + 9) = 0 Reorder the terms: (-1 + 3y7)(9 + y7) = 0 Multiply (-1 + 3y7) * (9 + y7) (-1(9 + y7) + 3y7 * (9 + y7)) = 0 ((9 * -1 + y7 * -1) + 3y7 * (9 + y7)) = 0 ((-9 + -1y7) + 3y7 * (9 + y7)) = 0 (-9 + -1y7 + (9 * 3y7 + y7 * 3y7)) = 0 (-9 + -1y7 + (27y7 + 3y14)) = 0 Combine like terms: -1y7 + 27y7 = 26y7 (-9 + 26y7 + 3y14) = 0 Solving -9 + 26y7 + 3y14 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y7)(1 + -3y7) = 0Subproblem 1
Set the factor '(-9 + -1y7)' equal to zero and attempt to solve: Simplifying -9 + -1y7 = 0 Solving -9 + -1y7 = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y7 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y7 = 0 + 9 -1y7 = 0 + 9 Combine like terms: 0 + 9 = 9 -1y7 = 9 Divide each side by '-1'. y7 = -9 Simplifying y7 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -3y7)' equal to zero and attempt to solve: Simplifying 1 + -3y7 = 0 Solving 1 + -3y7 = 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 + -3y7 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y7 = 0 + -1 -3y7 = 0 + -1 Combine like terms: 0 + -1 = -1 -3y7 = -1 Divide each side by '-3'. y7 = 0.3333333333 Simplifying y7 = 0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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