-4(a+1)=9a^2

Solution for -4(a+1)=9a^2 equation:

Simplifying
-4(a + 1) = 9a2

Reorder the terms:
-4(1 + a) = 9a2
(1 * -4 + a * -4) = 9a2
(-4 + -4a) = 9a2

Solving
-4 + -4a = 9a2

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 4a + 9a2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(4 + 4a + 9a2)' equal to zero and attempt to solve:

Simplifying
4 + 4a + 9a2 = 0

Solving
4 + 4a + 9a2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The a term is 0.4444444444a.  Take half its coefficient (0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
0.4444444444a + 0.04938271604 + a2 = -0.4444444444 + 0.04938271604

Reorder the terms:
0.04938271604 + 0.4444444444a + a2 = -0.4444444444 + 0.04938271604

Combine like terms: -0.4444444444 + 0.04938271604 = -0.39506172836
0.04938271604 + 0.4444444444a + a2 = -0.39506172836

Factor a perfect square on the left side:
(a + 0.2222222222)(a + 0.2222222222) = -0.39506172836

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.