9a^2-5a=-4

Solution for 9a^2-5a=-4 equation:

Simplifying
9a2 + -5a = -4

Reorder the terms:
-5a + 9a2 = -4

Solving
-5a + 9a2 = -4

Solving for variable 'a'.

Reorder the terms:
4 + -5a + 9a2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -5a + 9a2 = 0

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

Divide each side by '9'.
0.4444444444 + -0.5555555556a + a2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.5555555556a + -0.4444444444 + a2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.5555555556a + a2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.5555555556a + a2 = 0 + -0.4444444444
-0.5555555556a + a2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.5555555556a + a2 = -0.4444444444

The a term is -0.5555555556a.  Take half its coefficient (-0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
-0.5555555556a + 0.07716049384 + a2 = -0.4444444444 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556a + a2 = -0.4444444444 + 0.07716049384

Combine like terms: -0.4444444444 + 0.07716049384 = -0.36728395056
0.07716049384 + -0.5555555556a + a2 = -0.36728395056

Factor a perfect square on the left side:
(a + -0.2777777778)(a + -0.2777777778) = -0.36728395056

Can't calculate square root of the right side.

The solution to this equation could not be determined.