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Simplifying -9y = 5y2 + 4 Reorder the terms: -9y = 4 + 5y2 Solving -9y = 4 + 5y2 Solving for variable 'y'. Reorder the terms: -4 + -9y + -5y2 = 4 + 5y2 + -4 + -5y2 Reorder the terms: -4 + -9y + -5y2 = 4 + -4 + 5y2 + -5y2 Combine like terms: 4 + -4 = 0 -4 + -9y + -5y2 = 0 + 5y2 + -5y2 -4 + -9y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -4 + -9y + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 9y + 5y2) = 0 Factor a trinomial. -1((1 + y)(4 + 5y)) = 0 Ignore the factor -1.Subproblem 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 '(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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