4a^2-12a+9=-4

Solution for 4a^2-12a+9=-4 equation:

Simplifying
4a2 + -12a + 9 = -4

Reorder the terms:
9 + -12a + 4a2 = -4

Solving
9 + -12a + 4a2 = -4

Solving for variable 'a'.

Reorder the terms:
9 + 4 + -12a + 4a2 = -4 + 4

Combine like terms: 9 + 4 = 13
13 + -12a + 4a2 = -4 + 4

Combine like terms: -4 + 4 = 0
13 + -12a + 4a2 = 0

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

Divide each side by '4'.
3.25 + -3a + a2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + -3a + -3.25 + a2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + -3a + a2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -3a + a2 = 0 + -3.25
-3a + a2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
-3a + a2 = -3.25

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 = -3.25 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -3.25 + 2.25

Combine like terms: -3.25 + 2.25 = -1
2.25 + -3a + a2 = -1

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.