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Simplifying (8y + 1)(y + 7) = 0 Reorder the terms: (1 + 8y)(y + 7) = 0 Reorder the terms: (1 + 8y)(7 + y) = 0 Multiply (1 + 8y) * (7 + y) (1(7 + y) + 8y * (7 + y)) = 0 ((7 * 1 + y * 1) + 8y * (7 + y)) = 0 ((7 + 1y) + 8y * (7 + y)) = 0 (7 + 1y + (7 * 8y + y * 8y)) = 0 (7 + 1y + (56y + 8y2)) = 0 Combine like terms: 1y + 56y = 57y (7 + 57y + 8y2) = 0 Solving 7 + 57y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + y)(1 + 8y) = 0Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 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 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 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 = {-7, -0.125}
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