(7+5i)(-3+4i)=

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Solution for (7+5i)(-3+4i)= equation: 


Simplifying
(7 + 5i)(-3 + 4i) = 0

Multiply (7 + 5i) * (-3 + 4i)
(7(-3 + 4i) + 5i * (-3 + 4i)) = 0
((-3 * 7 + 4i * 7) + 5i * (-3 + 4i)) = 0
((-21 + 28i) + 5i * (-3 + 4i)) = 0
(-21 + 28i + (-3 * 5i + 4i * 5i)) = 0
(-21 + 28i + (-15i + 20i2)) = 0

Combine like terms: 28i + -15i = 13i
(-21 + 13i + 20i2) = 0

Solving
-21 + 13i + 20i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-7 + -5i)(3 + -4i) = 0


Subproblem 1
Set the factor '(-7 + -5i)' equal to zero and attempt to solve:

Simplifying
-7 + -5i = 0

Solving
-7 + -5i = 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 + -5i = 0 + 7

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

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

Divide each side by '-5'.
i = -1.4

Simplifying
i = -1.4

Subproblem 2
Set the factor '(3 + -4i)' equal to zero and attempt to solve:

Simplifying
3 + -4i = 0

Solving
3 + -4i = 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 + -4i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4i = 0 + -3
-4i = 0 + -3

Combine like terms: 0 + -3 = -3
-4i = -3

Divide each side by '-4'.
i = 0.75

Simplifying
i = 0.75
Solution
i = {-1.4, 0.75}

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