(1-7i)(1-7i)=

Solution for (1-7i)(1-7i)= equation:

Simplifying
(1 + -7i)(1 + -7i) = 0

Multiply (1 + -7i) * (1 + -7i)
(1(1 + -7i) + -7i * (1 + -7i)) = 0
((1 * 1 + -7i * 1) + -7i * (1 + -7i)) = 0
((1 + -7i) + -7i * (1 + -7i)) = 0
(1 + -7i + (1 * -7i + -7i * -7i)) = 0
(1 + -7i + (-7i + 49i2)) = 0

Combine like terms: -7i + -7i = -14i
(1 + -14i + 49i2) = 0

Solving
1 + -14i + 49i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(1 + -7i)(1 + -7i) = 0

Subproblem 1
Set the factor '(1 + -7i)' equal to zero and attempt to solve:

Simplifying
1 + -7i = 0

Solving
1 + -7i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7i = 0 + -1
-7i = 0 + -1

Combine like terms: 0 + -1 = -1
-7i = -1

Divide each side by '-7'.
i = 0.1428571429

Simplifying
i = 0.1428571429
Subproblem 2
Set the factor '(1 + -7i)' equal to zero and attempt to solve:

Simplifying
1 + -7i = 0

Solving
1 + -7i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7i = 0 + -1
-7i = 0 + -1

Combine like terms: 0 + -1 = -1
-7i = -1

Divide each side by '-7'.
i = 0.1428571429

Simplifying
i = 0.1428571429
Solution
i = {0.1428571429, 0.1428571429}