at^2-a^2t+3a^2-at^2=

Solution for at^2-a^2t+3a^2-at^2= equation:

Simplifying
at2 + -1a2t + 3a2 + -1at2 = 0

Reorder the terms:
at2 + -1at2 + 3a2 + -1a2t = 0

Combine like terms: at2 + -1at2 = 0
0 + 3a2 + -1a2t = 0
3a2 + -1a2t = 0

Solving
3a2 + -1a2t = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(3 + -1t) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Add 't' to each side of the equation.
-1t + t = -3 + t

Combine like terms: -1t + t = 0
0 = -3 + t

Simplifying
0 = -3 + t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}