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

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


Simplifying
(-5 + 8i)(7 + -1i) = 0

Multiply (-5 + 8i) * (7 + -1i)
(-5(7 + -1i) + 8i * (7 + -1i)) = 0
((7 * -5 + -1i * -5) + 8i * (7 + -1i)) = 0
((-35 + 5i) + 8i * (7 + -1i)) = 0
(-35 + 5i + (7 * 8i + -1i * 8i)) = 0
(-35 + 5i + (56i + -8i2)) = 0

Combine like terms: 5i + 56i = 61i
(-35 + 61i + -8i2) = 0

Solving
-35 + 61i + -8i2 = 0

Solving for variable 'i'.

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

Subproblem 1

Set the factor '(-7 + i)' equal to zero and attempt to solve: Simplifying -7 + i = 0 Solving -7 + i = 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 + i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + i = 0 + 7 i = 0 + 7 Combine like terms: 0 + 7 = 7 i = 7 Simplifying i = 7

Subproblem 2

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

Solution

i = {7, 0.625}

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