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Simplifying 4y2 = -17y + -4 Reorder the terms: 4y2 = -4 + -17y Solving 4y2 = -4 + -17y Solving for variable 'y'. Reorder the terms: 4 + 17y + 4y2 = -4 + -17y + 4 + 17y Reorder the terms: 4 + 17y + 4y2 = -4 + 4 + -17y + 17y Combine like terms: -4 + 4 = 0 4 + 17y + 4y2 = 0 + -17y + 17y 4 + 17y + 4y2 = -17y + 17y Combine like terms: -17y + 17y = 0 4 + 17y + 4y2 = 0 Factor a trinomial. (4 + y)(1 + 4y) = 0Subproblem 1
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 = -4Subproblem 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 = {-4, -0.25}
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