(y^2+9y+20)(3y-24)=0

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Solution for (y^2+9y+20)(3y-24)=0 equation:


Simplifying
(y2 + 9y + 20)(3y + -24) = 0

Reorder the terms:
(20 + 9y + y2)(3y + -24) = 0

Reorder the terms:
(20 + 9y + y2)(-24 + 3y) = 0

Multiply (20 + 9y + y2) * (-24 + 3y)
(20(-24 + 3y) + 9y * (-24 + 3y) + y2(-24 + 3y)) = 0
((-24 * 20 + 3y * 20) + 9y * (-24 + 3y) + y2(-24 + 3y)) = 0
((-480 + 60y) + 9y * (-24 + 3y) + y2(-24 + 3y)) = 0
(-480 + 60y + (-24 * 9y + 3y * 9y) + y2(-24 + 3y)) = 0
(-480 + 60y + (-216y + 27y2) + y2(-24 + 3y)) = 0
(-480 + 60y + -216y + 27y2 + (-24 * y2 + 3y * y2)) = 0
(-480 + 60y + -216y + 27y2 + (-24y2 + 3y3)) = 0

Combine like terms: 60y + -216y = -156y
(-480 + -156y + 27y2 + -24y2 + 3y3) = 0

Combine like terms: 27y2 + -24y2 = 3y2
(-480 + -156y + 3y2 + 3y3) = 0

Solving
-480 + -156y + 3y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-160 + -52y + y2 + y3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-160 + -52y + y2 + y3)' equal to zero and attempt to solve: Simplifying -160 + -52y + y2 + y3 = 0 Solving -160 + -52y + y2 + 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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