(-2+5i)(-1+5i)=

Solution for (-2+5i)(-1+5i)= equation:

Simplifying
(-2 + 5i)(-1 + 5i) = 0

Multiply (-2 + 5i) * (-1 + 5i)
(-2(-1 + 5i) + 5i * (-1 + 5i)) = 0
((-1 * -2 + 5i * -2) + 5i * (-1 + 5i)) = 0
((2 + -10i) + 5i * (-1 + 5i)) = 0
(2 + -10i + (-1 * 5i + 5i * 5i)) = 0
(2 + -10i + (-5i + 25i2)) = 0

Combine like terms: -10i + -5i = -15i
(2 + -15i + 25i2) = 0

Solving
2 + -15i + 25i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(1 + -5i)(2 + -5i) = 0

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

Simplifying
1 + -5i = 0

Solving
1 + -5i = 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 + -5i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5i = 0 + -1
-5i = 0 + -1

Combine like terms: 0 + -1 = -1
-5i = -1

Divide each side by '-5'.
i = 0.2

Simplifying
i = 0.2
Subproblem 2
Set the factor '(2 + -5i)' equal to zero and attempt to solve:

Simplifying
2 + -5i = 0

Solving
2 + -5i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5i = 0 + -2
-5i = 0 + -2

Combine like terms: 0 + -2 = -2
-5i = -2

Divide each side by '-5'.
i = 0.4

Simplifying
i = 0.4
Solution
i = {0.2, 0.4}