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Simplifying -9y + -2 = 4y2 Reorder the terms: -2 + -9y = 4y2 Solving -2 + -9y = 4y2 Solving for variable 'y'. Combine like terms: 4y2 + -4y2 = 0 -2 + -9y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 9y + 4y2) = 0 Factor a trinomial. -1((2 + y)(1 + 4y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 2
Set the factor '(1 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25Solution
y = {-2, -0.25}
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