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Simplifying 5y2 = -1y + 4 Reorder the terms: 5y2 = 4 + -1y Solving 5y2 = 4 + -1y Solving for variable 'y'. Reorder the terms: -4 + y + 5y2 = 4 + -1y + -4 + y Reorder the terms: -4 + y + 5y2 = 4 + -4 + -1y + y Combine like terms: 4 + -4 = 0 -4 + y + 5y2 = 0 + -1y + y -4 + y + 5y2 = -1y + y Combine like terms: -1y + y = 0 -4 + y + 5y2 = 0 Factor a trinomial. (-1 + -1y)(4 + -5y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 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 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {-1, 0.8}
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