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Simplifying (17 + 4y)(4 + y) = 0 Multiply (17 + 4y) * (4 + y) (17(4 + y) + 4y * (4 + y)) = 0 ((4 * 17 + y * 17) + 4y * (4 + y)) = 0 ((68 + 17y) + 4y * (4 + y)) = 0 (68 + 17y + (4 * 4y + y * 4y)) = 0 (68 + 17y + (16y + 4y2)) = 0 Combine like terms: 17y + 16y = 33y (68 + 33y + 4y2) = 0 Solving 68 + 33y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (17 + 4y)(4 + y) = 0Subproblem 1
Set the factor '(17 + 4y)' equal to zero and attempt to solve: Simplifying 17 + 4y = 0 Solving 17 + 4y = 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 + 4y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4y = 0 + -17 4y = 0 + -17 Combine like terms: 0 + -17 = -17 4y = -17 Divide each side by '4'. y = -4.25 Simplifying y = -4.25Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-4.25, -4}
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