4a^2=4a-63

Solution for 4a^2=4a-63 equation:

Simplifying
4a2 = 4a + -63

Reorder the terms:
4a2 = -63 + 4a

Solving
4a2 = -63 + 4a

Solving for variable 'a'.

Reorder the terms:
63 + -4a + 4a2 = -63 + 4a + 63 + -4a

Reorder the terms:
63 + -4a + 4a2 = -63 + 63 + 4a + -4a

Combine like terms: -63 + 63 = 0
63 + -4a + 4a2 = 0 + 4a + -4a
63 + -4a + 4a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
63 + -4a + 4a2 = 0

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

Divide each side by '4'.
15.75 + -1a + a2 = 0

Move the constant term to the right:

Add '-15.75' to each side of the equation.
15.75 + -1a + -15.75 + a2 = 0 + -15.75

Reorder the terms:
15.75 + -15.75 + -1a + a2 = 0 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
0.00 + -1a + a2 = 0 + -15.75
-1a + a2 = 0 + -15.75

Combine like terms: 0 + -15.75 = -15.75
-1a + a2 = -15.75

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -15.75 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -15.75 + 0.25

Combine like terms: -15.75 + 0.25 = -15.5
0.25 + -1a + a2 = -15.5

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -15.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.