(y^2-6y+8)(3y+9)=0

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Solution for (y^2-6y+8)(3y+9)=0 equation:


Simplifying
(y2 + -6y + 8)(3y + 9) = 0

Reorder the terms:
(8 + -6y + y2)(3y + 9) = 0

Reorder the terms:
(8 + -6y + y2)(9 + 3y) = 0

Multiply (8 + -6y + y2) * (9 + 3y)
(8(9 + 3y) + -6y * (9 + 3y) + y2(9 + 3y)) = 0
((9 * 8 + 3y * 8) + -6y * (9 + 3y) + y2(9 + 3y)) = 0
((72 + 24y) + -6y * (9 + 3y) + y2(9 + 3y)) = 0
(72 + 24y + (9 * -6y + 3y * -6y) + y2(9 + 3y)) = 0
(72 + 24y + (-54y + -18y2) + y2(9 + 3y)) = 0
(72 + 24y + -54y + -18y2 + (9 * y2 + 3y * y2)) = 0
(72 + 24y + -54y + -18y2 + (9y2 + 3y3)) = 0

Combine like terms: 24y + -54y = -30y
(72 + -30y + -18y2 + 9y2 + 3y3) = 0

Combine like terms: -18y2 + 9y2 = -9y2
(72 + -30y + -9y2 + 3y3) = 0

Solving
72 + -30y + -9y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -10y + -3y2 + y3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(24 + -10y + -3y2 + y3)' equal to zero and attempt to solve: Simplifying 24 + -10y + -3y2 + y3 = 0 Solving 24 + -10y + -3y2 + y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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