rX^3-2x^2+2x-1=0

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Solution for rX^3-2x^2+2x-1=0 equation:


Simplifying
rX3 + -2x2 + 2x + -1 = 0

Reorder the terms:
-1 + rX3 + 2x + -2x2 = 0

Solving
-1 + rX3 + 2x + -2x2 = 0

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + rX3 + 2x + 1 + -2x2 = 0 + 1

Reorder the terms:
-1 + 1 + rX3 + 2x + -2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + rX3 + 2x + -2x2 = 0 + 1
rX3 + 2x + -2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
rX3 + 2x + -2x2 = 1

Add '-2x' to each side of the equation.
rX3 + 2x + -2x + -2x2 = 1 + -2x

Combine like terms: 2x + -2x = 0
rX3 + 0 + -2x2 = 1 + -2x
rX3 + -2x2 = 1 + -2x

Add '2x2' to each side of the equation.
rX3 + -2x2 + 2x2 = 1 + -2x + 2x2

Combine like terms: -2x2 + 2x2 = 0
rX3 + 0 = 1 + -2x + 2x2
rX3 = 1 + -2x + 2x2

Divide each side by 'X3'.
r = X-3 + -2xX-3 + 2x2X-3

Simplifying
r = X-3 + -2xX-3 + 2x2X-3

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