X^2-3x+1=(x-1)(x-1)+7x+3

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Solution for X^2-3x+1=(x-1)(x-1)+7x+3 equation: 


Simplifying
X2 + -3x + 1 = (x + -1)(x + -1) + 7x + 3

Reorder the terms:
1 + X2 + -3x = (x + -1)(x + -1) + 7x + 3

Reorder the terms:
1 + X2 + -3x = (-1 + x)(x + -1) + 7x + 3

Reorder the terms:
1 + X2 + -3x = (-1 + x)(-1 + x) + 7x + 3

Multiply (-1 + x) * (-1 + x)
1 + X2 + -3x = (-1(-1 + x) + x(-1 + x)) + 7x + 3
1 + X2 + -3x = ((-1 * -1 + x * -1) + x(-1 + x)) + 7x + 3
1 + X2 + -3x = ((1 + -1x) + x(-1 + x)) + 7x + 3
1 + X2 + -3x = (1 + -1x + (-1 * x + x * x)) + 7x + 3
1 + X2 + -3x = (1 + -1x + (-1x + x2)) + 7x + 3

Combine like terms: -1x + -1x = -2x
1 + X2 + -3x = (1 + -2x + x2) + 7x + 3

Reorder the terms:
1 + X2 + -3x = 1 + 3 + -2x + 7x + x2

Combine like terms: 1 + 3 = 4
1 + X2 + -3x = 4 + -2x + 7x + x2

Combine like terms: -2x + 7x = 5x
1 + X2 + -3x = 4 + 5x + x2

Solving
1 + X2 + -3x = 4 + 5x + x2

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + -1 + -3x = 4 + 5x + -1 + x2

Reorder the terms:
1 + -1 + X2 + -3x = 4 + 5x + -1 + x2

Combine like terms: 1 + -1 = 0
0 + X2 + -3x = 4 + 5x + -1 + x2
X2 + -3x = 4 + 5x + -1 + x2

Reorder the terms:
X2 + -3x = 4 + -1 + 5x + x2

Combine like terms: 4 + -1 = 3
X2 + -3x = 3 + 5x + x2

Add '3x' to each side of the equation.
X2 + -3x + 3x = 3 + 5x + 3x + x2

Combine like terms: -3x + 3x = 0
X2 + 0 = 3 + 5x + 3x + x2
X2 = 3 + 5x + 3x + x2

Combine like terms: 5x + 3x = 8x
X2 = 3 + 8x + x2

Simplifying
X2 = 3 + 8x + x2

Reorder the terms:
-3 + X2 + -8x + -1x2 = 3 + 8x + x2 + -3 + -8x + -1x2

Reorder the terms:
-3 + X2 + -8x + -1x2 = 3 + -3 + 8x + -8x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + X2 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-3 + X2 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-3 + X2 + -8x + -1x2 = 0 + x2 + -1x2
-3 + X2 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + X2 + -8x + -1x2 = 0

The solution to this equation could not be determined.

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