(3y+3)(4y^2+5y+20)=0

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Solution for (3y+3)(4y^2+5y+20)=0 equation:


Simplifying
(3y + 3)(4y2 + 5y + 20) = 0

Reorder the terms:
(3 + 3y)(4y2 + 5y + 20) = 0

Reorder the terms:
(3 + 3y)(20 + 5y + 4y2) = 0

Multiply (3 + 3y) * (20 + 5y + 4y2)
(3(20 + 5y + 4y2) + 3y * (20 + 5y + 4y2)) = 0
((20 * 3 + 5y * 3 + 4y2 * 3) + 3y * (20 + 5y + 4y2)) = 0
((60 + 15y + 12y2) + 3y * (20 + 5y + 4y2)) = 0
(60 + 15y + 12y2 + (20 * 3y + 5y * 3y + 4y2 * 3y)) = 0
(60 + 15y + 12y2 + (60y + 15y2 + 12y3)) = 0

Reorder the terms:
(60 + 15y + 60y + 12y2 + 15y2 + 12y3) = 0

Combine like terms: 15y + 60y = 75y
(60 + 75y + 12y2 + 15y2 + 12y3) = 0

Combine like terms: 12y2 + 15y2 = 27y2
(60 + 75y + 27y2 + 12y3) = 0

Solving
60 + 75y + 27y2 + 12y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + 25y + 9y2 + 4y3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(20 + 25y + 9y2 + 4y3)' equal to zero and attempt to solve: Simplifying 20 + 25y + 9y2 + 4y3 = 0 Solving 20 + 25y + 9y2 + 4y3 = 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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