(8-3i)x(-2-5i)=

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Solution for (8-3i)x(-2-5i)= equation: 


Simplifying
(8 + -3i) * x(-2 + -5i) = 0

Reorder the terms for easier multiplication:
x(8 + -3i)(-2 + -5i) = 0

Multiply (8 + -3i) * (-2 + -5i)
x(8(-2 + -5i) + -3i * (-2 + -5i)) = 0
x((-2 * 8 + -5i * 8) + -3i * (-2 + -5i)) = 0
x((-16 + -40i) + -3i * (-2 + -5i)) = 0
x(-16 + -40i + (-2 * -3i + -5i * -3i)) = 0
x(-16 + -40i + (6i + 15i2)) = 0

Combine like terms: -40i + 6i = -34i
x(-16 + -34i + 15i2) = 0
(-16 * x + -34i * x + 15i2 * x) = 0

Reorder the terms:
(-34ix + 15i2x + -16x) = 0
(-34ix + 15i2x + -16x) = 0

Solving
-34ix + 15i2x + -16x = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-34i + 15i2 + -16) = 0

Factor a trinomial.
x((3i + -8)(5i + 2)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3i + -8)' equal to zero and attempt to solve:

Simplifying
3i + -8 = 0

Reorder the terms:
-8 + 3i = 0

Solving
-8 + 3i = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3i = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3i = 0 + 8
3i = 0 + 8

Combine like terms: 0 + 8 = 8
3i = 8

Divide each side by '3'.
i = 2.666666667

Simplifying
i = 2.666666667

Subproblem 3
Set the factor '(5i + 2)' equal to zero and attempt to solve:

Simplifying
5i + 2 = 0

Reorder the terms:
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 = {2.666666667, -0.4}

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