6a^2+4A+9A+6=0

Solution for 6a^2+4A+9A+6=0 equation:

Simplifying
6a2 + 4A + 9A + 6 = 0

Reorder the terms:
6 + 4A + 9A + 6a2 = 0

Combine like terms: 4A + 9A = 13A
6 + 13A + 6a2 = 0

Solving
6 + 13A + 6a2 = 0

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + 13A + -6 + 6a2 = 0 + -6

Reorder the terms:
6 + -6 + 13A + 6a2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 13A + 6a2 = 0 + -6
13A + 6a2 = 0 + -6

Combine like terms: 0 + -6 = -6
13A + 6a2 = -6

Add '-6a2' to each side of the equation.
13A + 6a2 + -6a2 = -6 + -6a2

Combine like terms: 6a2 + -6a2 = 0
13A + 0 = -6 + -6a2
13A = -6 + -6a2

Divide each side by '13'.
A = -0.4615384615 + -0.4615384615a2

Simplifying
A = -0.4615384615 + -0.4615384615a2