lx+2l=-lx-2l

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Solution for lx+2l=-lx-2l equation:


Simplifying
lx + 2l = -1lx + -2l

Reorder the terms:
2l + lx = -1lx + -2l

Reorder the terms:
2l + lx = -2l + -1lx

Solving
2l + lx = -2l + -1lx

Solving for variable 'l'.

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

Add '2l' to each side of the equation.
2l + 2l + lx = -2l + 2l + -1lx

Combine like terms: 2l + 2l = 4l
4l + lx = -2l + 2l + -1lx

Combine like terms: -2l + 2l = 0
4l + lx = 0 + -1lx
4l + lx = -1lx

Add 'lx' to each side of the equation.
4l + lx + lx = -1lx + lx

Combine like terms: lx + lx = 2lx
4l + 2lx = -1lx + lx

Combine like terms: -1lx + lx = 0
4l + 2lx = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

l = {0}

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