(7-2i)(4-3i)=

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Solution for (7-2i)(4-3i)= equation: 


Simplifying
(7 + -2i)(4 + -3i) = 0

Multiply (7 + -2i) * (4 + -3i)
(7(4 + -3i) + -2i * (4 + -3i)) = 0
((4 * 7 + -3i * 7) + -2i * (4 + -3i)) = 0
((28 + -21i) + -2i * (4 + -3i)) = 0
(28 + -21i + (4 * -2i + -3i * -2i)) = 0
(28 + -21i + (-8i + 6i2)) = 0

Combine like terms: -21i + -8i = -29i
(28 + -29i + 6i2) = 0

Solving
28 + -29i + 6i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(4 + -3i)(7 + -2i) = 0


Subproblem 1
Set the factor '(4 + -3i)' equal to zero and attempt to solve:

Simplifying
4 + -3i = 0

Solving
4 + -3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3i = 0 + -4

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

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

Divide each side by '-3'.
i = 1.333333333

Simplifying
i = 1.333333333

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

Simplifying
7 + -2i = 0

Solving
7 + -2i = 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 + -2i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2i = 0 + -7
-2i = 0 + -7

Combine like terms: 0 + -7 = -7
-2i = -7

Divide each side by '-2'.
i = 3.5

Simplifying
i = 3.5
Solution
i = {1.333333333, 3.5}

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