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Simplifying -17y + -4 = 4y2 Reorder the terms: -4 + -17y = 4y2 Solving -4 + -17y = 4y2 Solving for variable 'y'. Combine like terms: 4y2 + -4y2 = 0 -4 + -17y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 17y + 4y2) = 0 Factor a trinomial. -1((4 + y)(1 + 4y)) = 0 Ignore the factor -1.Subproblem 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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