x^2-1=x-2.5

Solution for x^2-1=x-2.5 equation:

Simplifying
x2 + -1 = x + -2.5

Reorder the terms:
-1 + x2 = x + -2.5

Reorder the terms:
-1 + x2 = -2.5 + x

Solving
-1 + x2 = -2.5 + x

Solving for variable 'x'.

Reorder the terms:
-1 + 2.5 + -1x + x2 = -2.5 + x + 2.5 + -1x

Combine like terms: -1 + 2.5 = 1.5
1.5 + -1x + x2 = -2.5 + x + 2.5 + -1x

Reorder the terms:
1.5 + -1x + x2 = -2.5 + 2.5 + x + -1x

Combine like terms: -2.5 + 2.5 = 0.0
1.5 + -1x + x2 = 0.0 + x + -1x
1.5 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
1.5 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1x + x2 = 0 + -1.5
-1x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1x + x2 = -1.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + -1x + x2 = -1.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.