(8+5i)(8+5i)=0

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Solution for (8+5i)(8+5i)=0 equation:


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

Multiply (8 + 5i) * (8 + 5i)
(8(8 + 5i) + 5i * (8 + 5i)) = 0
((8 * 8 + 5i * 8) + 5i * (8 + 5i)) = 0
((64 + 40i) + 5i * (8 + 5i)) = 0
(64 + 40i + (8 * 5i + 5i * 5i)) = 0
(64 + 40i + (40i + 25i2)) = 0

Combine like terms: 40i + 40i = 80i
(64 + 80i + 25i2) = 0

Solving
64 + 80i + 25i2 = 0

Solving for variable 'i'.

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

Subproblem 1

Set the factor '(8 + 5i)' equal to zero and attempt to solve: Simplifying 8 + 5i = 0 Solving 8 + 5i = 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 + 5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5i = 0 + -8 5i = 0 + -8 Combine like terms: 0 + -8 = -8 5i = -8 Divide each side by '5'. i = -1.6 Simplifying i = -1.6

Subproblem 2

Set the factor '(8 + 5i)' equal to zero and attempt to solve: Simplifying 8 + 5i = 0 Solving 8 + 5i = 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 + 5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5i = 0 + -8 5i = 0 + -8 Combine like terms: 0 + -8 = -8 5i = -8 Divide each side by '5'. i = -1.6 Simplifying i = -1.6

Solution

i = {-1.6, -1.6}

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