(1-3k)(1-3k)=

Solution for (1-3k)(1-3k)= equation:

Simplifying
(1 + -3k)(1 + -3k) = 0

Multiply (1 + -3k) * (1 + -3k)
(1(1 + -3k) + -3k * (1 + -3k)) = 0
((1 * 1 + -3k * 1) + -3k * (1 + -3k)) = 0
((1 + -3k) + -3k * (1 + -3k)) = 0
(1 + -3k + (1 * -3k + -3k * -3k)) = 0
(1 + -3k + (-3k + 9k2)) = 0

Combine like terms: -3k + -3k = -6k
(1 + -6k + 9k2) = 0

Solving
1 + -6k + 9k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -3k)(1 + -3k) = 0

Subproblem 1
Set the factor '(1 + -3k)' equal to zero and attempt to solve:

Simplifying
1 + -3k = 0

Solving
1 + -3k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Subproblem 2
Set the factor '(1 + -3k)' equal to zero and attempt to solve:

Simplifying
1 + -3k = 0

Solving
1 + -3k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Solution
k = {0.3333333333, 0.3333333333}