7t^2-4=3t^2-1

Solution for 7t^2-4=3t^2-1 equation:

Simplifying
7t2 + -4 = 3t2 + -1

Reorder the terms:
-4 + 7t2 = 3t2 + -1

Reorder the terms:
-4 + 7t2 = -1 + 3t2

Solving
-4 + 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.
-4 + 7t2 + -3t2 = -1 + 3t2 + -3t2

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

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

Add '4' to each side of the equation.
-4 + 4 + 4t2 = -1 + 4

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

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

Divide each side by '4'.
t2 = 0.75

Simplifying
t2 = 0.75

Take the square root of each side:
t = {-0.866025404, 0.866025404}