2a^2-5a+67=0

Solution for 2a^2-5a+67=0 equation:

Simplifying
2a2 + -5a + 67 = 0

Reorder the terms:
67 + -5a + 2a2 = 0

Solving
67 + -5a + 2a2 = 0

Solving for variable 'a'.

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

Divide each side by '2'.
33.5 + -2.5a + a2 = 0

Move the constant term to the right:

Add '-33.5' to each side of the equation.
33.5 + -2.5a + -33.5 + a2 = 0 + -33.5

Reorder the terms:
33.5 + -33.5 + -2.5a + a2 = 0 + -33.5

Combine like terms: 33.5 + -33.5 = 0.0
0.0 + -2.5a + a2 = 0 + -33.5
-2.5a + a2 = 0 + -33.5

Combine like terms: 0 + -33.5 = -33.5
-2.5a + a2 = -33.5

The a term is -2.5a.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5a + 1.5625 + a2 = -33.5 + 1.5625

Reorder the terms:
1.5625 + -2.5a + a2 = -33.5 + 1.5625

Combine like terms: -33.5 + 1.5625 = -31.9375
1.5625 + -2.5a + a2 = -31.9375

Factor a perfect square on the left side:
(a + -1.25)(a + -1.25) = -31.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.