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Simplifying 4y * y + 31y = 8 Multiply y * y 4y2 + 31y = 8 Reorder the terms: 31y + 4y2 = 8 Solving 31y + 4y2 = 8 Solving for variable 'y'. Reorder the terms: -8 + 31y + 4y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 31y + 4y2 = 0 Factor a trinomial. (-8 + -1y)(1 + -4y) = 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 + -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 = {-8, 0.25}
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