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Simplifying y = 4y2 + -5 Reorder the terms: y = -5 + 4y2 Solving y = -5 + 4y2 Solving for variable 'y'. Reorder the terms: 5 + y + -4y2 = -5 + 4y2 + 5 + -4y2 Reorder the terms: 5 + y + -4y2 = -5 + 5 + 4y2 + -4y2 Combine like terms: -5 + 5 = 0 5 + y + -4y2 = 0 + 4y2 + -4y2 5 + y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 5 + y + -4y2 = 0 Factor a trinomial. (5 + -4y)(1 + y) = 0Subproblem 1
Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {1.25, -1}
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