X^2-x+1=4x-3

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Solution for X^2-x+1=4x-3 equation:


Simplifying
X2 + -1x + 1 = 4x + -3

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

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

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

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 + -1x = -3 + -1 + 4x

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

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

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

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

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

Combine like terms: 4x + x = 5x
X2 = -4 + 5x

Simplifying
X2 = -4 + 5x

Reorder the terms:
4 + X2 + -5x = -4 + 5x + 4 + -5x

Reorder the terms:
4 + X2 + -5x = -4 + 4 + 5x + -5x

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

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

The solution to this equation could not be determined.

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