7l^6+77l^5+196l^4=

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Solution for 7l^6+77l^5+196l^4= equation: 


Simplifying
7l6 + 77l5 + 196l4 = 0

Reorder the terms:
196l4 + 77l5 + 7l6 = 0

Solving
196l4 + 77l5 + 7l6 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '7l4'.
7l4(28 + 11l + l2) = 0

Factor a trinomial.
7l4((7 + l)(4 + l)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'l4' equal to zero and attempt to solve:

Simplifying
l4 = 0

Solving
l4 = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
l4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + l)' equal to zero and attempt to solve:

Simplifying
7 + l = 0

Solving
7 + l = 0

Move all terms containing l to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + l = 0 + -7

Combine like terms: 7 + -7 = 0
0 + l = 0 + -7
l = 0 + -7

Combine like terms: 0 + -7 = -7
l = -7

Simplifying
l = -7

Subproblem 3
Set the factor '(4 + l)' equal to zero and attempt to solve:

Simplifying
4 + l = 0

Solving
4 + l = 0

Move all terms containing l to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + l = 0 + -4

Combine like terms: 4 + -4 = 0
0 + l = 0 + -4
l = 0 + -4

Combine like terms: 0 + -4 = -4
l = -4

Simplifying
l = -4
Solution
l = {-7, -4}

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