cx^2+2cx+4c=0

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Solution for cx^2+2cx+4c=0 equation: 


Simplifying
cx2 + 2cx + 4c = 0

Reorder the terms:
4c + 2cx + cx2 = 0

Solving
4c + 2cx + cx2 = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'c'.
c(4 + 2x + x2) = 0


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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(4 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
4 + 2x + x2 = 0

Solving
4 + 2x + x2 = 0

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

Add '-4' to each side of the equation.
4 + 2x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 2x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2x + x2 = 0 + -4
2x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
2x + x2 = -4

Add '-2x' to each side of the equation.
2x + -2x + x2 = -4 + -2x

Combine like terms: 2x + -2x = 0
0 + x2 = -4 + -2x
x2 = -4 + -2x

Add '-1x2' to each side of the equation.
x2 + -1x2 = -4 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -4 + -2x + -1x2

Simplifying
0 = -4 + -2x + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}

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