(X^2-2x+1)-(-5x^2+4x-1)=

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Solution for (X^2-2x+1)-(-5x^2+4x-1)= equation: 


Simplifying
(X2 + -2x + 1) + -1(-5x2 + 4x + -1) = 0

Reorder the terms:
(1 + X2 + -2x) + -1(-5x2 + 4x + -1) = 0

Remove parenthesis around (1 + X2 + -2x)
1 + X2 + -2x + -1(-5x2 + 4x + -1) = 0

Reorder the terms:
1 + X2 + -2x + -1(-1 + 4x + -5x2) = 0
1 + X2 + -2x + (-1 * -1 + 4x * -1 + -5x2 * -1) = 0
1 + X2 + -2x + (1 + -4x + 5x2) = 0

Reorder the terms:
1 + 1 + X2 + -2x + -4x + 5x2 = 0

Combine like terms: 1 + 1 = 2
2 + X2 + -2x + -4x + 5x2 = 0

Combine like terms: -2x + -4x = -6x
2 + X2 + -6x + 5x2 = 0

Solving
2 + X2 + -6x + 5x2 = 0

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 + -6x + -2 + 5x2 = 0 + -2

Reorder the terms:
2 + -2 + X2 + -6x + 5x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X2 + -6x + 5x2 = 0 + -2
X2 + -6x + 5x2 = 0 + -2

Combine like terms: 0 + -2 = -2
X2 + -6x + 5x2 = -2

Add '6x' to each side of the equation.
X2 + -6x + 6x + 5x2 = -2 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 + 5x2 = -2 + 6x
X2 + 5x2 = -2 + 6x

Add '-5x2' to each side of the equation.
X2 + 5x2 + -5x2 = -2 + 6x + -5x2

Combine like terms: 5x2 + -5x2 = 0
X2 + 0 = -2 + 6x + -5x2
X2 = -2 + 6x + -5x2

Simplifying
X2 = -2 + 6x + -5x2

Reorder the terms:
2 + X2 + -6x + 5x2 = -2 + 6x + -5x2 + 2 + -6x + 5x2

Reorder the terms:
2 + X2 + -6x + 5x2 = -2 + 2 + 6x + -6x + -5x2 + 5x2

Combine like terms: -2 + 2 = 0
2 + X2 + -6x + 5x2 = 0 + 6x + -6x + -5x2 + 5x2
2 + X2 + -6x + 5x2 = 6x + -6x + -5x2 + 5x2

Combine like terms: 6x + -6x = 0
2 + X2 + -6x + 5x2 = 0 + -5x2 + 5x2
2 + X2 + -6x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
2 + X2 + -6x + 5x2 = 0

The solution to this equation could not be determined.

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