(3+7i)(3+7i)=

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Solution for (3+7i)(3+7i)= equation:


Simplifying
(3 + 7i)(3 + 7i) = 0

Multiply (3 + 7i) * (3 + 7i)
(3(3 + 7i) + 7i * (3 + 7i)) = 0
((3 * 3 + 7i * 3) + 7i * (3 + 7i)) = 0
((9 + 21i) + 7i * (3 + 7i)) = 0
(9 + 21i + (3 * 7i + 7i * 7i)) = 0
(9 + 21i + (21i + 49i2)) = 0

Combine like terms: 21i + 21i = 42i
(9 + 42i + 49i2) = 0

Solving
9 + 42i + 49i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(3 + 7i)(3 + 7i) = 0

Subproblem 1

Set the factor '(3 + 7i)' equal to zero and attempt to solve: Simplifying 3 + 7i = 0 Solving 3 + 7i = 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 + 7i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7i = 0 + -3 7i = 0 + -3 Combine like terms: 0 + -3 = -3 7i = -3 Divide each side by '7'. i = -0.4285714286 Simplifying i = -0.4285714286

Subproblem 2

Set the factor '(3 + 7i)' equal to zero and attempt to solve: Simplifying 3 + 7i = 0 Solving 3 + 7i = 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 + 7i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7i = 0 + -3 7i = 0 + -3 Combine like terms: 0 + -3 = -3 7i = -3 Divide each side by '7'. i = -0.4285714286 Simplifying i = -0.4285714286

Solution

i = {-0.4285714286, -0.4285714286}

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