4t^2-8=42

Solution for 4t^2-8=42 equation:

Simplifying
4t2 + -8 = 42

Reorder the terms:
-8 + 4t2 = 42

Solving
-8 + 4t2 = 42

Solving for variable 't'.

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

Add '8' to each side of the equation.
-8 + 8 + 4t2 = 42 + 8

Combine like terms: -8 + 8 = 0
0 + 4t2 = 42 + 8
4t2 = 42 + 8

Combine like terms: 42 + 8 = 50
4t2 = 50

Divide each side by '4'.
t2 = 12.5

Simplifying
t2 = 12.5

Take the square root of each side:
t = {-3.535533906, 3.535533906}