3(-5+4i)-(-3+5i)=0

Solution for 3(-5+4i)-(-3+5i)=0 equation:

Simplifying
3(-5 + 4i) + -1(-3 + 5i) = 0
(-5 * 3 + 4i * 3) + -1(-3 + 5i) = 0
(-15 + 12i) + -1(-3 + 5i) = 0
-15 + 12i + (-3 * -1 + 5i * -1) = 0
-15 + 12i + (3 + -5i) = 0

Reorder the terms:
-15 + 3 + 12i + -5i = 0

Combine like terms: -15 + 3 = -12
-12 + 12i + -5i = 0

Combine like terms: 12i + -5i = 7i
-12 + 7i = 0

Solving
-12 + 7i = 0

Solving for variable 'i'.

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

Add '12' to each side of the equation.
-12 + 12 + 7i = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 7i = 0 + 12
7i = 0 + 12

Combine like terms: 0 + 12 = 12
7i = 12

Divide each side by '7'.
i = 1.714285714

Simplifying
i = 1.714285714