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