2(y+9)(y+12)(2y+3)=

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Solution for 2(y+9)(y+12)(2y+3)= equation:


Simplifying
2(y + 9)(y + 12)(2y + 3) = 0

Reorder the terms:
2(9 + y)(y + 12)(2y + 3) = 0

Reorder the terms:
2(9 + y)(12 + y)(2y + 3) = 0

Reorder the terms:
2(9 + y)(12 + y)(3 + 2y) = 0

Multiply (9 + y) * (12 + y)
2(9(12 + y) + y(12 + y))(3 + 2y) = 0
2((12 * 9 + y * 9) + y(12 + y))(3 + 2y) = 0
2((108 + 9y) + y(12 + y))(3 + 2y) = 0
2(108 + 9y + (12 * y + y * y))(3 + 2y) = 0
2(108 + 9y + (12y + y2))(3 + 2y) = 0

Combine like terms: 9y + 12y = 21y
2(108 + 21y + y2)(3 + 2y) = 0

Multiply (108 + 21y + y2) * (3 + 2y)
2(108(3 + 2y) + 21y * (3 + 2y) + y2(3 + 2y)) = 0
2((3 * 108 + 2y * 108) + 21y * (3 + 2y) + y2(3 + 2y)) = 0
2((324 + 216y) + 21y * (3 + 2y) + y2(3 + 2y)) = 0
2(324 + 216y + (3 * 21y + 2y * 21y) + y2(3 + 2y)) = 0
2(324 + 216y + (63y + 42y2) + y2(3 + 2y)) = 0
2(324 + 216y + 63y + 42y2 + (3 * y2 + 2y * y2)) = 0
2(324 + 216y + 63y + 42y2 + (3y2 + 2y3)) = 0

Combine like terms: 216y + 63y = 279y
2(324 + 279y + 42y2 + 3y2 + 2y3) = 0

Combine like terms: 42y2 + 3y2 = 45y2
2(324 + 279y + 45y2 + 2y3) = 0
(324 * 2 + 279y * 2 + 45y2 * 2 + 2y3 * 2) = 0
(648 + 558y + 90y2 + 4y3) = 0

Solving
648 + 558y + 90y2 + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(324 + 279y + 45y2 + 2y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(324 + 279y + 45y2 + 2y3)' equal to zero and attempt to solve: Simplifying 324 + 279y + 45y2 + 2y3 = 0 Solving 324 + 279y + 45y2 + 2y3 = 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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