(3+5i)(3+5i)=

Solution for (3+5i)(3+5i)= equation:

Simplifying
(3 + 5i)(3 + 5i) = 0

Multiply (3 + 5i) * (3 + 5i)
(3(3 + 5i) + 5i * (3 + 5i)) = 0
((3 * 3 + 5i * 3) + 5i * (3 + 5i)) = 0
((9 + 15i) + 5i * (3 + 5i)) = 0
(9 + 15i + (3 * 5i + 5i * 5i)) = 0
(9 + 15i + (15i + 25i2)) = 0

Combine like terms: 15i + 15i = 30i
(9 + 30i + 25i2) = 0

Solving
9 + 30i + 25i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(3 + 5i)(3 + 5i) = 0

Subproblem 1
Set the factor '(3 + 5i)' equal to zero and attempt to solve:

Simplifying
3 + 5i = 0

Solving
3 + 5i = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5i = 0 + -3
5i = 0 + -3

Combine like terms: 0 + -3 = -3
5i = -3

Divide each side by '5'.
i = -0.6

Simplifying
i = -0.6
Subproblem 2
Set the factor '(3 + 5i)' equal to zero and attempt to solve:

Simplifying
3 + 5i = 0

Solving
3 + 5i = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5i = 0 + -3
5i = 0 + -3

Combine like terms: 0 + -3 = -3
5i = -3

Divide each side by '5'.
i = -0.6

Simplifying
i = -0.6
Solution
i = {-0.6, -0.6}