x^2-13x+96=0

Solution for x^2-13x+96=0 equation:

Simplifying
x2 + -13x + 96 = 0

Reorder the terms:
96 + -13x + x2 = 0

Solving
96 + -13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + -13x + -96 + x2 = 0 + -96

Reorder the terms:
96 + -96 + -13x + x2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -13x + x2 = 0 + -96
-13x + x2 = 0 + -96

Combine like terms: 0 + -96 = -96
-13x + x2 = -96

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -96 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -96 + 42.25

Combine like terms: -96 + 42.25 = -53.75
42.25 + -13x + x2 = -53.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -53.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.