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Simplifying 9y2 + 16y + 7 = 0 Reorder the terms: 7 + 16y + 9y2 = 0 Solving 7 + 16y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + y)(7 + 9y) = 0Subproblem 1
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 2
Set the factor '(7 + 9y)' equal to zero and attempt to solve: Simplifying 7 + 9y = 0 Solving 7 + 9y = 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 + 9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = 0 + -7 9y = 0 + -7 Combine like terms: 0 + -7 = -7 9y = -7 Divide each side by '9'. y = -0.7777777778 Simplifying y = -0.7777777778Solution
y = {-1, -0.7777777778}
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