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Simplifying 6y2 = 22y + 40 Reorder the terms: 6y2 = 40 + 22y Solving 6y2 = 40 + 22y Solving for variable 'y'. Reorder the terms: -40 + -22y + 6y2 = 40 + 22y + -40 + -22y Reorder the terms: -40 + -22y + 6y2 = 40 + -40 + 22y + -22y Combine like terms: 40 + -40 = 0 -40 + -22y + 6y2 = 0 + 22y + -22y -40 + -22y + 6y2 = 22y + -22y Combine like terms: 22y + -22y = 0 -40 + -22y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -11y + 3y2) = 0 Factor a trinomial. 2((-4 + -3y)(5 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3y)' equal to zero and attempt to solve: Simplifying -4 + -3y = 0 Solving -4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 0 + 4 -3y = 0 + 4 Combine like terms: 0 + 4 = 4 -3y = 4 Divide each side by '-3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-1.333333333, 5}
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