0=2cx(c)-c

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Solution for 0=2cx(c)-c equation:


Simplifying
0 = 2cx(c) + -1c

Multiply cx * c
0 = 2c2x + -1c

Reorder the terms:
0 = -1c + 2c2x

Solving
0 = -1c + 2c2x

Solving for variable 'c'.
Remove the zero:
c + -2c2x = -1c + 2c2x + c + -2c2x

Reorder the terms:
c + -2c2x = -1c + c + 2c2x + -2c2x

Combine like terms: -1c + c = 0
c + -2c2x = 0 + 2c2x + -2c2x
c + -2c2x = 2c2x + -2c2x

Combine like terms: 2c2x + -2c2x = 0
c + -2c2x = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(1 + -2cx) = 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 '(1 + -2cx)' equal to zero and attempt to solve: Simplifying 1 + -2cx = 0 Solving 1 + -2cx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2cx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cx = 0 + -1 -2cx = 0 + -1 Combine like terms: 0 + -1 = -1 -2cx = -1 Divide each side by '-2x'. c = 0.5x-1 Simplifying c = 0.5x-1

Solution

c = {0, 0.5x-1}

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