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Simplifying 6y2 + -22y + 16 = 0 Reorder the terms: 16 + -22y + 6y2 = 0 Solving 16 + -22y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -11y + 3y2) = 0 Factor a trinomial. 2((1 + -1y)(8 + -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 '(8 + -3y)' equal to zero and attempt to solve: Simplifying 8 + -3y = 0 Solving 8 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 0 + -8 -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667Solution
y = {1, 2.666666667}
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