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Simplifying 8y = 5y2 + -4 Reorder the terms: 8y = -4 + 5y2 Solving 8y = -4 + 5y2 Solving for variable 'y'. Reorder the terms: 4 + 8y + -5y2 = -4 + 5y2 + 4 + -5y2 Reorder the terms: 4 + 8y + -5y2 = -4 + 4 + 5y2 + -5y2 Combine like terms: -4 + 4 = 0 4 + 8y + -5y2 = 0 + 5y2 + -5y2 4 + 8y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 4 + 8y + -5y2 = 0 Factor a trinomial. (2 + -1y)(2 + 5y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {2, -0.4}
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