(3-4i)(8+9i)=

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Solution for (3-4i)(8+9i)= equation:


Simplifying
(3 + -4i)(8 + 9i) = 0

Multiply (3 + -4i) * (8 + 9i)
(3(8 + 9i) + -4i * (8 + 9i)) = 0
((8 * 3 + 9i * 3) + -4i * (8 + 9i)) = 0
((24 + 27i) + -4i * (8 + 9i)) = 0
(24 + 27i + (8 * -4i + 9i * -4i)) = 0
(24 + 27i + (-32i + -36i2)) = 0

Combine like terms: 27i + -32i = -5i
(24 + -5i + -36i2) = 0

Solving
24 + -5i + -36i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(3 + -4i)(8 + 9i) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + 9i)' equal to zero and attempt to solve: Simplifying 8 + 9i = 0 Solving 8 + 9i = 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 + 9i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9i = 0 + -8 9i = 0 + -8 Combine like terms: 0 + -8 = -8 9i = -8 Divide each side by '9'. i = -0.8888888889 Simplifying i = -0.8888888889

Solution

i = {0.75, -0.8888888889}

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