x^2-19x+96=0

Solution for x^2-19x+96=0 equation:

Simplifying
x2 + -19x + 96 = 0

Reorder the terms:
96 + -19x + x2 = 0

Solving
96 + -19x + 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 + -19x + -96 + x2 = 0 + -96

Reorder the terms:
96 + -96 + -19x + x2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -19x + x2 = 0 + -96
-19x + x2 = 0 + -96

Combine like terms: 0 + -96 = -96
-19x + x2 = -96

The x term is -19x.  Take half its coefficient (-9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
-19x + 90.25 + x2 = -96 + 90.25

Reorder the terms:
90.25 + -19x + x2 = -96 + 90.25

Combine like terms: -96 + 90.25 = -5.75
90.25 + -19x + x2 = -5.75

Factor a perfect square on the left side:
(x + -9.5)(x + -9.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.