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Simplifying (y + 17)(4y + 1) = 0 Reorder the terms: (17 + y)(4y + 1) = 0 Reorder the terms: (17 + y)(1 + 4y) = 0 Multiply (17 + y) * (1 + 4y) (17(1 + 4y) + y(1 + 4y)) = 0 ((1 * 17 + 4y * 17) + y(1 + 4y)) = 0 ((17 + 68y) + y(1 + 4y)) = 0 (17 + 68y + (1 * y + 4y * y)) = 0 (17 + 68y + (1y + 4y2)) = 0 Combine like terms: 68y + 1y = 69y (17 + 69y + 4y2) = 0 Solving 17 + 69y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (17 + y)(1 + 4y) = 0Subproblem 1
Set the factor '(17 + y)' equal to zero and attempt to solve: Simplifying 17 + y = 0 Solving 17 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + y = 0 + -17 y = 0 + -17 Combine like terms: 0 + -17 = -17 y = -17 Simplifying y = -17Subproblem 2
Set the factor '(1 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25Solution
y = {-17, -0.25}
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