(3+4i)(3+4i)=

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Solution for (3+4i)(3+4i)= equation:


Simplifying
(3 + 4i)(3 + 4i) = 0

Multiply (3 + 4i) * (3 + 4i)
(3(3 + 4i) + 4i * (3 + 4i)) = 0
((3 * 3 + 4i * 3) + 4i * (3 + 4i)) = 0
((9 + 12i) + 4i * (3 + 4i)) = 0
(9 + 12i + (3 * 4i + 4i * 4i)) = 0
(9 + 12i + (12i + 16i2)) = 0

Combine like terms: 12i + 12i = 24i
(9 + 24i + 16i2) = 0

Solving
9 + 24i + 16i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(3 + 4i)(3 + 4i) = 0

Subproblem 1

Set the factor '(3 + 4i)' equal to zero and attempt to solve: Simplifying 3 + 4i = 0 Solving 3 + 4i = 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 + 4i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4i = 0 + -3 4i = 0 + -3 Combine like terms: 0 + -3 = -3 4i = -3 Divide each side by '4'. i = -0.75 Simplifying i = -0.75

Subproblem 2

Set the factor '(3 + 4i)' equal to zero and attempt to solve: Simplifying 3 + 4i = 0 Solving 3 + 4i = 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 + 4i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4i = 0 + -3 4i = 0 + -3 Combine like terms: 0 + -3 = -3 4i = -3 Divide each side by '4'. i = -0.75 Simplifying i = -0.75

Solution

i = {-0.75, -0.75}

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