27a^2+39as+14s^2=

Solution for 27a^2+39as+14s^2= equation:

Simplifying
27a2 + 39as + 14s2 = 0

Reorder the terms:
39as + 27a2 + 14s2 = 0

Solving
39as + 27a2 + 14s2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + 2s)(9a + 7s) = 0

Subproblem 1
Set the factor '(3a + 2s)' equal to zero and attempt to solve:

Simplifying
3a + 2s = 0

Solving
3a + 2s = 0

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

Add '-2s' to each side of the equation.
3a + 2s + -2s = 0 + -2s

Combine like terms: 2s + -2s = 0
3a + 0 = 0 + -2s
3a = 0 + -2s
Remove the zero:
3a = -2s

Divide each side by '3'.
a = -0.6666666667s

Simplifying
a = -0.6666666667s
Subproblem 2
Set the factor '(9a + 7s)' equal to zero and attempt to solve:

Simplifying
9a + 7s = 0

Solving
9a + 7s = 0

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

Add '-7s' to each side of the equation.
9a + 7s + -7s = 0 + -7s

Combine like terms: 7s + -7s = 0
9a + 0 = 0 + -7s
9a = 0 + -7s
Remove the zero:
9a = -7s

Divide each side by '9'.
a = -0.7777777778s

Simplifying
a = -0.7777777778s
Solution
a = {-0.6666666667s, -0.7777777778s}