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Simplifying 6y = 4y2 + -4 Reorder the terms: 6y = -4 + 4y2 Solving 6y = -4 + 4y2 Solving for variable 'y'. Reorder the terms: 4 + 6y + -4y2 = -4 + 4y2 + 4 + -4y2 Reorder the terms: 4 + 6y + -4y2 = -4 + 4 + 4y2 + -4y2 Combine like terms: -4 + 4 = 0 4 + 6y + -4y2 = 0 + 4y2 + -4y2 4 + 6y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 4 + 6y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 3y + -2y2) = 0 Factor a trinomial. 2((2 + -1y)(1 + 2y)) = 0 Ignore the factor 2.Subproblem 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 '(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 = {2, -0.5}
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