(2x-1)sq=(x-1)(x-3)+1

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Solution for (2x-1)sq=(x-1)(x-3)+1 equation: 


Simplifying
(2x + -1) * sq = (x + -1)(x + -3) + 1

Reorder the terms:
(-1 + 2x) * sq = (x + -1)(x + -3) + 1

Reorder the terms for easier multiplication:
qs(-1 + 2x) = (x + -1)(x + -3) + 1
(-1 * qs + 2x * qs) = (x + -1)(x + -3) + 1
(-1qs + 2qsx) = (x + -1)(x + -3) + 1

Reorder the terms:
-1qs + 2qsx = (-1 + x)(x + -3) + 1

Reorder the terms:
-1qs + 2qsx = (-1 + x)(-3 + x) + 1

Multiply (-1 + x) * (-3 + x)
-1qs + 2qsx = (-1(-3 + x) + x(-3 + x)) + 1
-1qs + 2qsx = ((-3 * -1 + x * -1) + x(-3 + x)) + 1
-1qs + 2qsx = ((3 + -1x) + x(-3 + x)) + 1
-1qs + 2qsx = (3 + -1x + (-3 * x + x * x)) + 1
-1qs + 2qsx = (3 + -1x + (-3x + x2)) + 1

Combine like terms: -1x + -3x = -4x
-1qs + 2qsx = (3 + -4x + x2) + 1

Reorder the terms:
-1qs + 2qsx = 3 + 1 + -4x + x2

Combine like terms: 3 + 1 = 4
-1qs + 2qsx = 4 + -4x + x2

Solving
-1qs + 2qsx = 4 + -4x + x2

Solving for variable 'q'.

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

Reorder the terms:
-4 + -1qs + 2qsx + 4x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2

Reorder the terms:
-4 + -1qs + 2qsx + 4x + -1x2 = 4 + -4 + -4x + 4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-4 + -1qs + 2qsx + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-4 + -1qs + 2qsx + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-4 + -1qs + 2qsx + 4x + -1x2 = 0 + x2 + -1x2
-4 + -1qs + 2qsx + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -1qs + 2qsx + 4x + -1x2 = 0

The solution to this equation could not be determined.

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