0=a^2-3a+4

Solution for 0=a^2-3a+4 equation:

Simplifying
0 = a2 + -3a + 4

Reorder the terms:
0 = 4 + -3a + a2

Solving
0 = 4 + -3a + a2

Solving for variable 'a'.

Combine like terms: 0 + -4 = -4
-4 + 3a + -1a2 = 4 + -3a + a2 + -4 + 3a + -1a2

Reorder the terms:
-4 + 3a + -1a2 = 4 + -4 + -3a + 3a + a2 + -1a2

Combine like terms: 4 + -4 = 0
-4 + 3a + -1a2 = 0 + -3a + 3a + a2 + -1a2
-4 + 3a + -1a2 = -3a + 3a + a2 + -1a2

Combine like terms: -3a + 3a = 0
-4 + 3a + -1a2 = 0 + a2 + -1a2
-4 + 3a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-4 + 3a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
4 + -3a + a2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3a + -4 + a2 = 0 + -4

Reorder the terms:
4 + -4 + -3a + a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a + a2 = 0 + -4
-3a + a2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3a + a2 = -4

The a term is -3a.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3a + 2.25 + a2 = -4 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + -3a + a2 = -1.75

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.