7t^2=3t^2+1

Solution for 7t^2=3t^2+1 equation:

Simplifying
7t2 = 3t2 + 1

Reorder the terms:
7t2 = 1 + 3t2

Solving
7t2 = 1 + 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.
7t2 + -3t2 = 1 + 3t2 + -3t2

Combine like terms: 7t2 + -3t2 = 4t2
4t2 = 1 + 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
4t2 = 1 + 0
4t2 = 1

Divide each side by '4'.
t2 = 0.25

Simplifying
t2 = 0.25

Take the square root of each side:
t = {-0.5, 0.5}