x^2-10x=-35.5

Solution for x^2-10x=-35.5 equation:

Simplifying
x2 + -10x = -35.5

Reorder the terms:
-10x + x2 = -35.5

Solving
-10x + x2 = -35.5

Solving for variable 'x'.

Reorder the terms:
35.5 + -10x + x2 = -35.5 + 35.5

Combine like terms: -35.5 + 35.5 = 0.0
35.5 + -10x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-35.5' to each side of the equation.
35.5 + -10x + -35.5 + x2 = 0.0 + -35.5

Reorder the terms:
35.5 + -35.5 + -10x + x2 = 0.0 + -35.5

Combine like terms: 35.5 + -35.5 = 0.0
0.0 + -10x + x2 = 0.0 + -35.5
-10x + x2 = 0.0 + -35.5

Combine like terms: 0.0 + -35.5 = -35.5
-10x + x2 = -35.5

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -35.5 + 25

Reorder the terms:
25 + -10x + x2 = -35.5 + 25

Combine like terms: -35.5 + 25 = -10.5
25 + -10x + x2 = -10.5

Factor a perfect square on the left side:
(x + -5)(x + -5) = -10.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.