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Simplifying 2y = 4y2 + -2 Reorder the terms: 2y = -2 + 4y2 Solving 2y = -2 + 4y2 Solving for variable 'y'. Reorder the terms: 2 + 2y + -4y2 = -2 + 4y2 + 2 + -4y2 Reorder the terms: 2 + 2y + -4y2 = -2 + 2 + 4y2 + -4y2 Combine like terms: -2 + 2 = 0 2 + 2y + -4y2 = 0 + 4y2 + -4y2 2 + 2y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 2 + 2y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + y + -2y2) = 0 Factor a trinomial. 2((1 + -1y)(1 + 2y)) = 0 Ignore the factor 2.Subproblem 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 '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 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 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {1, -0.5}
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