(4+9i)(4+9i)=0

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Solution for (4+9i)(4+9i)=0 equation:


Simplifying
(4 + 9i)(4 + 9i) = 0

Multiply (4 + 9i) * (4 + 9i)
(4(4 + 9i) + 9i * (4 + 9i)) = 0
((4 * 4 + 9i * 4) + 9i * (4 + 9i)) = 0
((16 + 36i) + 9i * (4 + 9i)) = 0
(16 + 36i + (4 * 9i + 9i * 9i)) = 0
(16 + 36i + (36i + 81i2)) = 0

Combine like terms: 36i + 36i = 72i
(16 + 72i + 81i2) = 0

Solving
16 + 72i + 81i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(4 + 9i)(4 + 9i) = 0

Subproblem 1

Set the factor '(4 + 9i)' equal to zero and attempt to solve: Simplifying 4 + 9i = 0 Solving 4 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9i = 0 + -4 9i = 0 + -4 Combine like terms: 0 + -4 = -4 9i = -4 Divide each side by '9'. i = -0.4444444444 Simplifying i = -0.4444444444

Subproblem 2

Set the factor '(4 + 9i)' equal to zero and attempt to solve: Simplifying 4 + 9i = 0 Solving 4 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9i = 0 + -4 9i = 0 + -4 Combine like terms: 0 + -4 = -4 9i = -4 Divide each side by '9'. i = -0.4444444444 Simplifying i = -0.4444444444

Solution

i = {-0.4444444444, -0.4444444444}

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