-12a^2-5ac+3c^2=

Solution for -12a^2-5ac+3c^2= equation:

Simplifying
-12a2 + -5ac + 3c2 = 0

Reorder the terms:
-5ac + -12a2 + 3c2 = 0

Solving
-5ac + -12a2 + 3c2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4a + -3c)(3a + -1c) = 0

Subproblem 1
Set the factor '(-4a + -3c)' equal to zero and attempt to solve:

Simplifying
-4a + -3c = 0

Solving
-4a + -3c = 0

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

Add '3c' to each side of the equation.
-4a + -3c + 3c = 0 + 3c

Combine like terms: -3c + 3c = 0
-4a + 0 = 0 + 3c
-4a = 0 + 3c
Remove the zero:
-4a = 3c

Divide each side by '-4'.
a = -0.75c

Simplifying
a = -0.75c
Subproblem 2
Set the factor '(3a + -1c)' equal to zero and attempt to solve:

Simplifying
3a + -1c = 0

Solving
3a + -1c = 0

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

Add 'c' to each side of the equation.
3a + -1c + c = 0 + c

Combine like terms: -1c + c = 0
3a + 0 = 0 + c
3a = 0 + c
Remove the zero:
3a = c

Divide each side by '3'.
a = 0.3333333333c

Simplifying
a = 0.3333333333c
Solution
a = {-0.75c, 0.3333333333c}