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Simplifying 6y2 + -122y + -128 = 0 Reorder the terms: -128 + -122y + 6y2 = 0 Solving -128 + -122y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-64 + -61y + 3y2) = 0 Factor a trinomial. 2((-1 + -1y)(64 + -3y)) = 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 '(64 + -3y)' equal to zero and attempt to solve: Simplifying 64 + -3y = 0 Solving 64 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -3y = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -3y = 0 + -64 -3y = 0 + -64 Combine like terms: 0 + -64 = -64 -3y = -64 Divide each side by '-3'. y = 21.33333333 Simplifying y = 21.33333333Solution
y = {-1, 21.33333333}
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