(4t^2-7)+4=1

Solution for (4t^2-7)+4=1 equation:

Simplifying
(4t2 + -7) + 4 = 1

Reorder the terms:
(-7 + 4t2) + 4 = 1

Remove parenthesis around (-7 + 4t2)
-7 + 4t2 + 4 = 1

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

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

Solving
-3 + 4t2 = 1

Solving for variable 't'.

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

Add '3' to each side of the equation.
-3 + 3 + 4t2 = 1 + 3

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

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

Divide each side by '4'.
t2 = 1

Simplifying
t2 = 1

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