77x^2-8x+72=0

Solution for 77x^2-8x+72=0 equation:

Simplifying
77x2 + -8x + 72 = 0

Reorder the terms:
72 + -8x + 77x2 = 0

Solving
72 + -8x + 77x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
77 the coefficient of the squared term: 

Divide each side by '77'.
0.9350649351 + -0.1038961039x + x2 = 0

Move the constant term to the right:

Add '-0.9350649351' to each side of the equation.
0.9350649351 + -0.1038961039x + -0.9350649351 + x2 = 0 + -0.9350649351

Reorder the terms:
0.9350649351 + -0.9350649351 + -0.1038961039x + x2 = 0 + -0.9350649351

Combine like terms: 0.9350649351 + -0.9350649351 = 0.0000000000
0.0000000000 + -0.1038961039x + x2 = 0 + -0.9350649351
-0.1038961039x + x2 = 0 + -0.9350649351

Combine like terms: 0 + -0.9350649351 = -0.9350649351
-0.1038961039x + x2 = -0.9350649351

The x term is -0.1038961039x.  Take half its coefficient (-0.05194805195).
Square it (0.002698600101) and add it to both sides.

Add '0.002698600101' to each side of the equation.
-0.1038961039x + 0.002698600101 + x2 = -0.9350649351 + 0.002698600101

Reorder the terms:
0.002698600101 + -0.1038961039x + x2 = -0.9350649351 + 0.002698600101

Combine like terms: -0.9350649351 + 0.002698600101 = -0.932366334999
0.002698600101 + -0.1038961039x + x2 = -0.932366334999

Factor a perfect square on the left side:
(x + -0.05194805195)(x + -0.05194805195) = -0.932366334999

Can't calculate square root of the right side.

The solution to this equation could not be determined.