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

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

Simplifying
a2 + 2t2 = a2 + -3t2

Add '-1a2' to each side of the equation.
a2 + -1a2 + 2t2 = a2 + -1a2 + -3t2

Combine like terms: a2 + -1a2 = 0
0 + 2t2 = a2 + -1a2 + -3t2
2t2 = a2 + -1a2 + -3t2

Combine like terms: a2 + -1a2 = 0
2t2 = 0 + -3t2
2t2 = -3t2

Solving
2t2 = -3t2

Solving for variable 't'.

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

Add '3t2' to each side of the equation.
2t2 + 3t2 = -3t2 + 3t2

Combine like terms: 2t2 + 3t2 = 5t2
5t2 = -3t2 + 3t2

Combine like terms: -3t2 + 3t2 = 0
5t2 = 0

Divide each side by '5'.
t2 = 0

Simplifying
t2 = 0

Take the square root of each side:
t = {0}