(-5+7i)(8-9i)=

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Solution for (-5+7i)(8-9i)= equation:


Simplifying
(-5 + 7i)(8 + -9i) = 0

Multiply (-5 + 7i) * (8 + -9i)
(-5(8 + -9i) + 7i * (8 + -9i)) = 0
((8 * -5 + -9i * -5) + 7i * (8 + -9i)) = 0
((-40 + 45i) + 7i * (8 + -9i)) = 0
(-40 + 45i + (8 * 7i + -9i * 7i)) = 0
(-40 + 45i + (56i + -63i2)) = 0

Combine like terms: 45i + 56i = 101i
(-40 + 101i + -63i2) = 0

Solving
-40 + 101i + -63i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-8 + 9i)(5 + -7i) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -7i)' equal to zero and attempt to solve: Simplifying 5 + -7i = 0 Solving 5 + -7i = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7i = 0 + -5 -7i = 0 + -5 Combine like terms: 0 + -5 = -5 -7i = -5 Divide each side by '-7'. i = 0.7142857143 Simplifying i = 0.7142857143

Solution

i = {0.8888888889, 0.7142857143}

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