2t^2+3t^2-27=0

Solution for 2t^2+3t^2-27=0 equation:

Simplifying
2t2 + 3t2 + -27 = 0

Reorder the terms:
-27 + 2t2 + 3t2 = 0

Combine like terms: 2t2 + 3t2 = 5t2
-27 + 5t2 = 0

Solving
-27 + 5t2 = 0

Solving for variable 't'.

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

Add '27' to each side of the equation.
-27 + 27 + 5t2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 5t2 = 0 + 27
5t2 = 0 + 27

Combine like terms: 0 + 27 = 27
5t2 = 27

Divide each side by '5'.
t2 = 5.4

Simplifying
t2 = 5.4

Take the square root of each side:
t = {-2.323790008, 2.323790008}