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Simplifying (8 + -1y)(5y + 1) = 0 Reorder the terms: (8 + -1y)(1 + 5y) = 0 Multiply (8 + -1y) * (1 + 5y) (8(1 + 5y) + -1y * (1 + 5y)) = 0 ((1 * 8 + 5y * 8) + -1y * (1 + 5y)) = 0 ((8 + 40y) + -1y * (1 + 5y)) = 0 (8 + 40y + (1 * -1y + 5y * -1y)) = 0 (8 + 40y + (-1y + -5y2)) = 0 Combine like terms: 40y + -1y = 39y (8 + 39y + -5y2) = 0 Solving 8 + 39y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + -1y)(1 + 5y) = 0Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve: Simplifying 1 + 5y = 0 Solving 1 + 5y = 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 + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 0 + -1 5y = 0 + -1 Combine like terms: 0 + -1 = -1 5y = -1 Divide each side by '5'. y = -0.2 Simplifying y = -0.2Solution
y = {8, -0.2}
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