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Simplifying 8y = 5y2 + 3 Reorder the terms: 8y = 3 + 5y2 Solving 8y = 3 + 5y2 Solving for variable 'y'. Reorder the terms: -3 + 8y + -5y2 = 3 + 5y2 + -3 + -5y2 Reorder the terms: -3 + 8y + -5y2 = 3 + -3 + 5y2 + -5y2 Combine like terms: 3 + -3 = 0 -3 + 8y + -5y2 = 0 + 5y2 + -5y2 -3 + 8y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -3 + 8y + -5y2 = 0 Factor a trinomial. (-1 + y)(3 + -5y) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {1, 0.6}
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