(5-8i)(6+i)=

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Solution for (5-8i)(6+i)= equation:


Simplifying
(5 + -8i)(6 + i) = 0

Multiply (5 + -8i) * (6 + i)
(5(6 + i) + -8i * (6 + i)) = 0
((6 * 5 + i * 5) + -8i * (6 + i)) = 0
((30 + 5i) + -8i * (6 + i)) = 0
(30 + 5i + (6 * -8i + i * -8i)) = 0
(30 + 5i + (-48i + -8i2)) = 0

Combine like terms: 5i + -48i = -43i
(30 + -43i + -8i2) = 0

Solving
30 + -43i + -8i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(5 + -8i)(6 + i) = 0

Subproblem 1

Set the factor '(5 + -8i)' equal to zero and attempt to solve: Simplifying 5 + -8i = 0 Solving 5 + -8i = 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 + -8i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8i = 0 + -5 -8i = 0 + -5 Combine like terms: 0 + -5 = -5 -8i = -5 Divide each side by '-8'. i = 0.625 Simplifying i = 0.625

Subproblem 2

Set the factor '(6 + i)' equal to zero and attempt to solve: Simplifying 6 + i = 0 Solving 6 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + i = 0 + -6 i = 0 + -6 Combine like terms: 0 + -6 = -6 i = -6 Simplifying i = -6

Solution

i = {0.625, -6}

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