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Simplifying (7y + 9)(7y + 9) = 0 Reorder the terms: (9 + 7y)(7y + 9) = 0 Reorder the terms: (9 + 7y)(9 + 7y) = 0 Multiply (9 + 7y) * (9 + 7y) (9(9 + 7y) + 7y * (9 + 7y)) = 0 ((9 * 9 + 7y * 9) + 7y * (9 + 7y)) = 0 ((81 + 63y) + 7y * (9 + 7y)) = 0 (81 + 63y + (9 * 7y + 7y * 7y)) = 0 (81 + 63y + (63y + 49y2)) = 0 Combine like terms: 63y + 63y = 126y (81 + 126y + 49y2) = 0 Solving 81 + 126y + 49y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + 7y)(9 + 7y) = 0Subproblem 1
Set the factor '(9 + 7y)' equal to zero and attempt to solve: Simplifying 9 + 7y = 0 Solving 9 + 7y = 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 + 7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 0 + -9 7y = 0 + -9 Combine like terms: 0 + -9 = -9 7y = -9 Divide each side by '7'. y = -1.285714286 Simplifying y = -1.285714286Subproblem 2
Set the factor '(9 + 7y)' equal to zero and attempt to solve: Simplifying 9 + 7y = 0 Solving 9 + 7y = 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 + 7y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 0 + -9 7y = 0 + -9 Combine like terms: 0 + -9 = -9 7y = -9 Divide each side by '7'. y = -1.285714286 Simplifying y = -1.285714286Solution
y = {-1.285714286, -1.285714286}
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