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Simplifying 0 = 9 + 6y + -8y2 Solving 0 = 9 + 6y + -8y2 Solving for variable 'y'. Combine like terms: 0 + -9 = -9 -9 + -6y + 8y2 = 9 + 6y + -8y2 + -9 + -6y + 8y2 Reorder the terms: -9 + -6y + 8y2 = 9 + -9 + 6y + -6y + -8y2 + 8y2 Combine like terms: 9 + -9 = 0 -9 + -6y + 8y2 = 0 + 6y + -6y + -8y2 + 8y2 -9 + -6y + 8y2 = 6y + -6y + -8y2 + 8y2 Combine like terms: 6y + -6y = 0 -9 + -6y + 8y2 = 0 + -8y2 + 8y2 -9 + -6y + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 -9 + -6y + 8y2 = 0 Factor a trinomial. (-3 + -4y)(3 + -2y) = 0Subproblem 1
Set the factor '(-3 + -4y)' equal to zero and attempt to solve: Simplifying -3 + -4y = 0 Solving -3 + -4y = 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 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 0 + 3 -4y = 0 + 3 Combine like terms: 0 + 3 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75Subproblem 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 = {-0.75, 1.5}
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