(-5+7i)(-8-3i)=

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Solution for (-5+7i)(-8-3i)= equation:


Simplifying
(-5 + 7i)(-8 + -3i) = 0

Multiply (-5 + 7i) * (-8 + -3i)
(-5(-8 + -3i) + 7i * (-8 + -3i)) = 0
((-8 * -5 + -3i * -5) + 7i * (-8 + -3i)) = 0
((40 + 15i) + 7i * (-8 + -3i)) = 0
(40 + 15i + (-8 * 7i + -3i * 7i)) = 0
(40 + 15i + (-56i + -21i2)) = 0

Combine like terms: 15i + -56i = -41i
(40 + -41i + -21i2) = 0

Solving
40 + -41i + -21i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(5 + -7i)(8 + 3i) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + 3i)' equal to zero and attempt to solve: Simplifying 8 + 3i = 0 Solving 8 + 3i = 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 + 3i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3i = 0 + -8 3i = 0 + -8 Combine like terms: 0 + -8 = -8 3i = -8 Divide each side by '3'. i = -2.666666667 Simplifying i = -2.666666667

Solution

i = {0.7142857143, -2.666666667}

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