4(2t-2)(2t-2)=0

Solution for 4(2t-2)(2t-2)=0 equation:

Simplifying
4(2t + -2)(2t + -2) = 0

Reorder the terms:
4(-2 + 2t)(2t + -2) = 0

Reorder the terms:
4(-2 + 2t)(-2 + 2t) = 0

Multiply (-2 + 2t) * (-2 + 2t)
4(-2(-2 + 2t) + 2t * (-2 + 2t)) = 0
4((-2 * -2 + 2t * -2) + 2t * (-2 + 2t)) = 0
4((4 + -4t) + 2t * (-2 + 2t)) = 0
4(4 + -4t + (-2 * 2t + 2t * 2t)) = 0
4(4 + -4t + (-4t + 4t2)) = 0

Combine like terms: -4t + -4t = -8t
4(4 + -8t + 4t2) = 0
(4 * 4 + -8t * 4 + 4t2 * 4) = 0
(16 + -32t + 16t2) = 0

Solving
16 + -32t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(1 + -2t + t2) = 0

Factor a trinomial.
16((1 + -1t)(1 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Solution
t = {1, 1}