t^2+(5t^2)-6=0

Solution for t^2+(5t^2)-6=0 equation:

Simplifying
t2 + (5t2) + -6 = 0

Reorder the terms:
-6 + t2 + (5t2) = 0

Combine like terms: t2 + (5t2) = 6t2
-6 + 6t2 = 0

Solving
-6 + 6t2 = 0

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 6t2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6t2 = 0 + 6
6t2 = 0 + 6

Combine like terms: 0 + 6 = 6
6t2 = 6

Divide each side by '6'.
t2 = 1

Simplifying
t2 = 1

Take the square root of each side:
t = {-1, 1}