(3+i)(3+i)=

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Solution for (3+i)(3+i)= equation:


Simplifying
(3 + i)(3 + i) = 0

Multiply (3 + i) * (3 + i)
(3(3 + i) + i(3 + i)) = 0
((3 * 3 + i * 3) + i(3 + i)) = 0
((9 + 3i) + i(3 + i)) = 0
(9 + 3i + (3 * i + i * i)) = 0
(9 + 3i + (3i + i2)) = 0

Combine like terms: 3i + 3i = 6i
(9 + 6i + i2) = 0

Solving
9 + 6i + i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(3 + i)(3 + i) = 0

Subproblem 1

Set the factor '(3 + i)' equal to zero and attempt to solve: Simplifying 3 + i = 0 Solving 3 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + i = 0 + -3 i = 0 + -3 Combine like terms: 0 + -3 = -3 i = -3 Simplifying i = -3

Subproblem 2

Set the factor '(3 + i)' equal to zero and attempt to solve: Simplifying 3 + i = 0 Solving 3 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + i = 0 + -3 i = 0 + -3 Combine like terms: 0 + -3 = -3 i = -3 Simplifying i = -3

Solution

i = {-3, -3}

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