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Simplifying 8y2 + 105y + 13 = 0 Reorder the terms: 13 + 105y + 8y2 = 0 Solving 13 + 105y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (13 + y)(1 + 8y) = 0Subproblem 1
Set the factor '(13 + y)' equal to zero and attempt to solve: Simplifying 13 + y = 0 Solving 13 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + y = 0 + -13 y = 0 + -13 Combine like terms: 0 + -13 = -13 y = -13 Simplifying y = -13Subproblem 2
Set the factor '(1 + 8y)' equal to zero and attempt to solve: Simplifying 1 + 8y = 0 Solving 1 + 8y = 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 + 8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 0 + -1 8y = 0 + -1 Combine like terms: 0 + -1 = -1 8y = -1 Divide each side by '8'. y = -0.125 Simplifying y = -0.125Solution
y = {-13, -0.125}
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