(3-5i)x(3+5i)=0

Solution for (3-5i)x(3+5i)=0 equation:

Simplifying
(3 + -5i) * x(3 + 5i) = 0

Reorder the terms for easier multiplication:
x(3 + -5i)(3 + 5i) = 0

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

Combine like terms: 15i + -15i = 0
x(9 + 0 + -25i2) = 0
x(9 + -25i2) = 0
(9 * x + -25i2 * x) = 0

Reorder the terms:
(-25i2x + 9x) = 0
(-25i2x + 9x) = 0

Solving
-25i2x + 9x = 0

Solving for variable 'i'.

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

Add '-9x' to each side of the equation.
-25i2x + 9x + -9x = 0 + -9x

Combine like terms: 9x + -9x = 0
-25i2x + 0 = 0 + -9x
-25i2x = 0 + -9x
Remove the zero:
-25i2x = -9x

Divide each side by '-25x'.
i2 = 0.36

Simplifying
i2 = 0.36

Take the square root of each side:
i = {-0.6, 0.6}