(2l^2+l+3)(4l^2+2l-2)=0

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Solution for (2l^2+l+3)(4l^2+2l-2)=0 equation: 


Simplifying
(2l2 + l + 3)(4l2 + 2l + -2) = 0

Reorder the terms:
(3 + l + 2l2)(4l2 + 2l + -2) = 0

Reorder the terms:
(3 + l + 2l2)(-2 + 2l + 4l2) = 0

Multiply (3 + l + 2l2) * (-2 + 2l + 4l2)
(3(-2 + 2l + 4l2) + l(-2 + 2l + 4l2) + 2l2 * (-2 + 2l + 4l2)) = 0
((-2 * 3 + 2l * 3 + 4l2 * 3) + l(-2 + 2l + 4l2) + 2l2 * (-2 + 2l + 4l2)) = 0
((-6 + 6l + 12l2) + l(-2 + 2l + 4l2) + 2l2 * (-2 + 2l + 4l2)) = 0
(-6 + 6l + 12l2 + (-2 * l + 2l * l + 4l2 * l) + 2l2 * (-2 + 2l + 4l2)) = 0
(-6 + 6l + 12l2 + (-2l + 2l2 + 4l3) + 2l2 * (-2 + 2l + 4l2)) = 0
(-6 + 6l + 12l2 + -2l + 2l2 + 4l3 + (-2 * 2l2 + 2l * 2l2 + 4l2 * 2l2)) = 0
(-6 + 6l + 12l2 + -2l + 2l2 + 4l3 + (-4l2 + 4l3 + 8l4)) = 0

Reorder the terms:
(-6 + 6l + -2l + 12l2 + 2l2 + -4l2 + 4l3 + 4l3 + 8l4) = 0

Combine like terms: 6l + -2l = 4l
(-6 + 4l + 12l2 + 2l2 + -4l2 + 4l3 + 4l3 + 8l4) = 0

Combine like terms: 12l2 + 2l2 = 14l2
(-6 + 4l + 14l2 + -4l2 + 4l3 + 4l3 + 8l4) = 0

Combine like terms: 14l2 + -4l2 = 10l2
(-6 + 4l + 10l2 + 4l3 + 4l3 + 8l4) = 0

Combine like terms: 4l3 + 4l3 = 8l3
(-6 + 4l + 10l2 + 8l3 + 8l4) = 0

Solving
-6 + 4l + 10l2 + 8l3 + 8l4 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 2l + 5l2 + 4l3 + 4l4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + 2l + 5l2 + 4l3 + 4l4)' equal to zero and attempt to solve:

Simplifying
-3 + 2l + 5l2 + 4l3 + 4l4 = 0

Solving
-3 + 2l + 5l2 + 4l3 + 4l4 = 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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