x^2-2x+c=4x-2c

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Solution for x^2-2x+c=4x-2c equation:


Simplifying
x2 + -2x + c = 4x + -2c

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

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

Solving
c + -2x + x2 = -2c + 4x

Solving for variable 'c'.

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

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

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

Combine like terms: c + 2c = 3c
3c + -2x + x2 = -2c + 2c + 4x

Combine like terms: -2c + 2c = 0
3c + -2x + x2 = 0 + 4x
3c + -2x + x2 = 4x

Add '2x' to each side of the equation.
3c + -2x + 2x + x2 = 4x + 2x

Combine like terms: -2x + 2x = 0
3c + 0 + x2 = 4x + 2x
3c + x2 = 4x + 2x

Combine like terms: 4x + 2x = 6x
3c + x2 = 6x

Add '-1x2' to each side of the equation.
3c + x2 + -1x2 = 6x + -1x2

Combine like terms: x2 + -1x2 = 0
3c + 0 = 6x + -1x2
3c = 6x + -1x2

Divide each side by '3'.
c = 2x + -0.3333333333x2

Simplifying
c = 2x + -0.3333333333x2

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