t^2=4t-4

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

Simplifying
t2 = 4t + -4

Reorder the terms:
t2 = -4 + 4t

Solving
t2 = -4 + 4t

Solving for variable 't'.

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

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

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

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

Factor a trinomial.
(2 + -1t)(2 + -1t) = 0

Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {2, 2}