-2lx^3+x^4+lx=0forx

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Solution for -2lx^3+x^4+lx=0forx equation: 


Simplifying
-2lx3 + x4 + lx = 0forx

Reorder the terms:
lx + -2lx3 + x4 = 0forx

Anything times zero is zero.
lx + -2lx3 + x4 = 0forx

Solving
lx + -2lx3 + x4 = 0

Solving for variable 'l'.

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

Add '-1x4' to each side of the equation.
lx + -2lx3 + x4 + -1x4 = 0 + -1x4

Combine like terms: x4 + -1x4 = 0
lx + -2lx3 + 0 = 0 + -1x4
lx + -2lx3 = 0 + -1x4
Remove the zero:
lx + -2lx3 = -1x4

Combine like terms: -1x4 + x4 = 0
lx + -2lx3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(l + -2lx2 + x3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(l + -2lx2 + x3)' equal to zero and attempt to solve:

Simplifying
l + -2lx2 + x3 = 0

Solving
l + -2lx2 + x3 = 0

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

Add '-1x3' to each side of the equation.
l + -2lx2 + x3 + -1x3 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
l + -2lx2 + 0 = 0 + -1x3
l + -2lx2 = 0 + -1x3
Remove the zero:
l + -2lx2 = -1x3

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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