6(t-2)(t-2)=

Solution for 6(t-2)(t-2)= equation:

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

Reorder the terms:
6(-2 + t)(t + -2) = 0

Reorder the terms:
6(-2 + t)(-2 + t) = 0

Multiply (-2 + t) * (-2 + t)
6(-2(-2 + t) + t(-2 + t)) = 0
6((-2 * -2 + t * -2) + t(-2 + t)) = 0
6((4 + -2t) + t(-2 + t)) = 0
6(4 + -2t + (-2 * t + t * t)) = 0
6(4 + -2t + (-2t + t2)) = 0

Combine like terms: -2t + -2t = -4t
6(4 + -4t + t2) = 0
(4 * 6 + -4t * 6 + t2 * 6) = 0
(24 + -24t + 6t2) = 0

Solving
24 + -24t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -4t + t2) = 0

Factor a trinomial.
6((2 + -1t)(2 + -1t)) = 0

Ignore the factor 6.
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}