(16+15i)(25-12i)=

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Solution for (16+15i)(25-12i)= equation: 


Simplifying
(16 + 15i)(25 + -12i) = 0

Multiply (16 + 15i) * (25 + -12i)
(16(25 + -12i) + 15i * (25 + -12i)) = 0
((25 * 16 + -12i * 16) + 15i * (25 + -12i)) = 0
((400 + -192i) + 15i * (25 + -12i)) = 0
(400 + -192i + (25 * 15i + -12i * 15i)) = 0
(400 + -192i + (375i + -180i2)) = 0

Combine like terms: -192i + 375i = 183i
(400 + 183i + -180i2) = 0

Solving
400 + 183i + -180i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(25 + -12i)(16 + 15i) = 0


Subproblem 1
Set the factor '(25 + -12i)' equal to zero and attempt to solve:

Simplifying
25 + -12i = 0

Solving
25 + -12i = 0

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

Add '-25' to each side of the equation.
25 + -25 + -12i = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -12i = 0 + -25
-12i = 0 + -25

Combine like terms: 0 + -25 = -25
-12i = -25

Divide each side by '-12'.
i = 2.083333333

Simplifying
i = 2.083333333

Subproblem 2
Set the factor '(16 + 15i)' equal to zero and attempt to solve:

Simplifying
16 + 15i = 0

Solving
16 + 15i = 0

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

Add '-16' to each side of the equation.
16 + -16 + 15i = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 15i = 0 + -16
15i = 0 + -16

Combine like terms: 0 + -16 = -16
15i = -16

Divide each side by '15'.
i = -1.066666667

Simplifying
i = -1.066666667
Solution
i = {2.083333333, -1.066666667}

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