4a-4a^2-3=0

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

Simplifying
4a + -4a2 + -3 = 0

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

Solving
-3 + 4a + -4a2 = 0

Solving for variable 'a'.

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

Divide each side by '-4'.
0.75 + -1a + a2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1a + -0.75 + a2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1a + a2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1a + a2 = 0 + -0.75
-1a + a2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1a + a2 = -0.75

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 = -0.75 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + -1a + a2 = -0.5

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.