(2-7i)(3-5i)=

Solution for (2-7i)(3-5i)= equation:

Simplifying
(2 + -7i)(3 + -5i) = 0

Multiply (2 + -7i) * (3 + -5i)
(2(3 + -5i) + -7i * (3 + -5i)) = 0
((3 * 2 + -5i * 2) + -7i * (3 + -5i)) = 0
((6 + -10i) + -7i * (3 + -5i)) = 0
(6 + -10i + (3 * -7i + -5i * -7i)) = 0
(6 + -10i + (-21i + 35i2)) = 0

Combine like terms: -10i + -21i = -31i
(6 + -31i + 35i2) = 0

Solving
6 + -31i + 35i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(2 + -7i)(3 + -5i) = 0

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

Simplifying
2 + -7i = 0

Solving
2 + -7i = 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 + -7i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7i = 0 + -2
-7i = 0 + -2

Combine like terms: 0 + -2 = -2
-7i = -2

Divide each side by '-7'.
i = 0.2857142857

Simplifying
i = 0.2857142857
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 = {0.2857142857, 0.6}