X^2+(-3x+2)=(-3x+2)x+x

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Solution for X^2+(-3x+2)=(-3x+2)x+x equation: 


Simplifying
X2 + (-3x + 2) = (-3x + 2) * x + x

Reorder the terms:
X2 + (2 + -3x) = (-3x + 2) * x + x

Remove parenthesis around (2 + -3x)
X2 + 2 + -3x = (-3x + 2) * x + x

Reorder the terms:
2 + X2 + -3x = (-3x + 2) * x + x

Reorder the terms:
2 + X2 + -3x = (2 + -3x) * x + x

Reorder the terms for easier multiplication:
2 + X2 + -3x = x(2 + -3x) + x
2 + X2 + -3x = (2 * x + -3x * x) + x
2 + X2 + -3x = (2x + -3x2) + x

Reorder the terms:
2 + X2 + -3x = 2x + x + -3x2

Combine like terms: 2x + x = 3x
2 + X2 + -3x = 3x + -3x2

Solving
2 + X2 + -3x = 3x + -3x2

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X2 + -2 + -3x = 3x + -2 + -3x2

Reorder the terms:
2 + -2 + X2 + -3x = 3x + -2 + -3x2

Combine like terms: 2 + -2 = 0
0 + X2 + -3x = 3x + -2 + -3x2
X2 + -3x = 3x + -2 + -3x2

Reorder the terms:
X2 + -3x = -2 + 3x + -3x2

Add '3x' to each side of the equation.
X2 + -3x + 3x = -2 + 3x + 3x + -3x2

Combine like terms: -3x + 3x = 0
X2 + 0 = -2 + 3x + 3x + -3x2
X2 = -2 + 3x + 3x + -3x2

Combine like terms: 3x + 3x = 6x
X2 = -2 + 6x + -3x2

Simplifying
X2 = -2 + 6x + -3x2

Reorder the terms:
2 + X2 + -6x + 3x2 = -2 + 6x + -3x2 + 2 + -6x + 3x2

Reorder the terms:
2 + X2 + -6x + 3x2 = -2 + 2 + 6x + -6x + -3x2 + 3x2

Combine like terms: -2 + 2 = 0
2 + X2 + -6x + 3x2 = 0 + 6x + -6x + -3x2 + 3x2
2 + X2 + -6x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
2 + X2 + -6x + 3x2 = 0 + -3x2 + 3x2
2 + X2 + -6x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
2 + X2 + -6x + 3x2 = 0

The solution to this equation could not be determined.

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