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Simplifying 9y2 = -6y + 8 Reorder the terms: 9y2 = 8 + -6y Solving 9y2 = 8 + -6y Solving for variable 'y'. Reorder the terms: -8 + 6y + 9y2 = 8 + -6y + -8 + 6y Reorder the terms: -8 + 6y + 9y2 = 8 + -8 + -6y + 6y Combine like terms: 8 + -8 = 0 -8 + 6y + 9y2 = 0 + -6y + 6y -8 + 6y + 9y2 = -6y + 6y Combine like terms: -6y + 6y = 0 -8 + 6y + 9y2 = 0 Factor a trinomial. (-4 + -3y)(2 + -3y) = 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 '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {-1.333333333, 0.6666666667}
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