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

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Solution for (7-3i)(-2-5i)=0 equation: 


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

Multiply (7 + -3i) * (-2 + -5i)
(7(-2 + -5i) + -3i * (-2 + -5i)) = 0
((-2 * 7 + -5i * 7) + -3i * (-2 + -5i)) = 0
((-14 + -35i) + -3i * (-2 + -5i)) = 0
(-14 + -35i + (-2 * -3i + -5i * -3i)) = 0
(-14 + -35i + (6i + 15i2)) = 0

Combine like terms: -35i + 6i = -29i
(-14 + -29i + 15i2) = 0

Solving
-14 + -29i + 15i2 = 0

Solving for variable 'i'.

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


Subproblem 1
Set the factor '(-2 + -5i)' equal to zero and attempt to solve:

Simplifying
-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

Subproblem 2
Set the factor '(7 + -3i)' equal to zero and attempt to solve:

Simplifying
7 + -3i = 0

Solving
7 + -3i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3i = 0 + -7
-3i = 0 + -7

Combine like terms: 0 + -7 = -7
-3i = -7

Divide each side by '-3'.
i = 2.333333333

Simplifying
i = 2.333333333
Solution
i = {-0.4, 2.333333333}

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