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Simplifying 0 = -6y2 + 17y + -12 Reorder the terms: 0 = -12 + 17y + -6y2 Solving 0 = -12 + 17y + -6y2 Solving for variable 'y'. Combine like terms: 0 + 12 = 12 12 + -17y + 6y2 = -12 + 17y + -6y2 + 12 + -17y + 6y2 Reorder the terms: 12 + -17y + 6y2 = -12 + 12 + 17y + -17y + -6y2 + 6y2 Combine like terms: -12 + 12 = 0 12 + -17y + 6y2 = 0 + 17y + -17y + -6y2 + 6y2 12 + -17y + 6y2 = 17y + -17y + -6y2 + 6y2 Combine like terms: 17y + -17y = 0 12 + -17y + 6y2 = 0 + -6y2 + 6y2 12 + -17y + 6y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 12 + -17y + 6y2 = 0 Factor a trinomial. (4 + -3y)(3 + -2y) = 0Subproblem 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 '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {1.333333333, 1.5}
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