X^2-x-1=x+4

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


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

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

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

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

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

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

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

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

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

Combine like terms: x + x = 2x
X2 = 5 + 2x

Simplifying
X2 = 5 + 2x

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

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

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

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

The solution to this equation could not be determined.

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