(6y+12)(y^2+y-2)=0

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Solution for (6y+12)(y^2+y-2)=0 equation:


Simplifying
(6y + 12)(y2 + y + -2) = 0

Reorder the terms:
(12 + 6y)(y2 + y + -2) = 0

Reorder the terms:
(12 + 6y)(-2 + y + y2) = 0

Multiply (12 + 6y) * (-2 + y + y2)
(12(-2 + y + y2) + 6y * (-2 + y + y2)) = 0
((-2 * 12 + y * 12 + y2 * 12) + 6y * (-2 + y + y2)) = 0
((-24 + 12y + 12y2) + 6y * (-2 + y + y2)) = 0
(-24 + 12y + 12y2 + (-2 * 6y + y * 6y + y2 * 6y)) = 0
(-24 + 12y + 12y2 + (-12y + 6y2 + 6y3)) = 0

Reorder the terms:
(-24 + 12y + -12y + 12y2 + 6y2 + 6y3) = 0

Combine like terms: 12y + -12y = 0
(-24 + 0 + 12y2 + 6y2 + 6y3) = 0
(-24 + 12y2 + 6y2 + 6y3) = 0

Combine like terms: 12y2 + 6y2 = 18y2
(-24 + 18y2 + 6y3) = 0

Solving
-24 + 18y2 + 6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 3y2 + y3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-4 + 3y2 + y3)' equal to zero and attempt to solve: Simplifying -4 + 3y2 + y3 = 0 Solving -4 + 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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