x^2-cx-2c^2=0

Solution for x^2-cx-2c^2=0 equation:

Simplifying
x2 + -1cx + -2c2 = 0

Reorder the terms:
-1cx + -2c2 + x2 = 0

Solving
-1cx + -2c2 + x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1c + -1x)(2c + -1x) = 0

Subproblem 1
Set the factor '(-1c + -1x)' equal to zero and attempt to solve:

Simplifying
-1c + -1x = 0

Solving
-1c + -1x = 0

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

Add 'x' to each side of the equation.
-1c + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-1c + 0 = 0 + x
-1c = 0 + x
Remove the zero:
-1c = x

Divide each side by '-1'.
c = -1x

Simplifying
c = -1x
Subproblem 2
Set the factor '(2c + -1x)' equal to zero and attempt to solve:

Simplifying
2c + -1x = 0

Solving
2c + -1x = 0

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

Add 'x' to each side of the equation.
2c + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2c + 0 = 0 + x
2c = 0 + x
Remove the zero:
2c = x

Divide each side by '2'.
c = 0.5x

Simplifying
c = 0.5x
Solution
c = {-1x, 0.5x}