X^2-4x-1=x-7

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Solution for X^2-4x-1=x-7 equation:


Simplifying
X2 + -4x + -1 = x + -7

Reorder the terms:
-1 + X2 + -4x = x + -7

Reorder the terms:
-1 + X2 + -4x = -7 + x

Solving
-1 + X2 + -4x = -7 + x

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 + -4x = -7 + 1 + x

Reorder the terms:
-1 + 1 + X2 + -4x = -7 + 1 + x

Combine like terms: -1 + 1 = 0
0 + X2 + -4x = -7 + 1 + x
X2 + -4x = -7 + 1 + x

Combine like terms: -7 + 1 = -6
X2 + -4x = -6 + x

Add '4x' to each side of the equation.
X2 + -4x + 4x = -6 + x + 4x

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

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

Simplifying
X2 = -6 + 5x

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

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

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

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

The solution to this equation could not be determined.

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