t^2+4t=4t+1

Solution for t^2+4t=4t+1 equation:

Simplifying
t2 + 4t = 4t + 1

Reorder the terms:
4t + t2 = 4t + 1

Reorder the terms:
4t + t2 = 1 + 4t

Add '-4t' to each side of the equation.
4t + -4t + t2 = 1 + 4t + -4t

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

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

Solving
t2 = 1

Solving for variable 't'.

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

Simplifying
t2 = 1

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