(6i-4)(5i+3)=

Solution for (6i-4)(5i+3)= equation:

Simplifying
(6i + -4)(5i + 3) = 0

Reorder the terms:
(-4 + 6i)(5i + 3) = 0

Reorder the terms:
(-4 + 6i)(3 + 5i) = 0

Multiply (-4 + 6i) * (3 + 5i)
(-4(3 + 5i) + 6i * (3 + 5i)) = 0
((3 * -4 + 5i * -4) + 6i * (3 + 5i)) = 0
((-12 + -20i) + 6i * (3 + 5i)) = 0
(-12 + -20i + (3 * 6i + 5i * 6i)) = 0
(-12 + -20i + (18i + 30i2)) = 0

Combine like terms: -20i + 18i = -2i
(-12 + -2i + 30i2) = 0

Solving
-12 + -2i + 30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -1i + 15i2) = 0

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

Ignore the factor 2.
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 '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 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 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Solution
i = {-0.6, 0.6666666667}