(-4-10i)(-4-10i)=

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Solution for (-4-10i)(-4-10i)= equation: 


Simplifying
(-4 + -10i)(-4 + -10i) = 0

Multiply (-4 + -10i) * (-4 + -10i)
(-4(-4 + -10i) + -10i * (-4 + -10i)) = 0
((-4 * -4 + -10i * -4) + -10i * (-4 + -10i)) = 0
((16 + 40i) + -10i * (-4 + -10i)) = 0
(16 + 40i + (-4 * -10i + -10i * -10i)) = 0
(16 + 40i + (40i + 100i2)) = 0

Combine like terms: 40i + 40i = 80i
(16 + 80i + 100i2) = 0

Solving
16 + 80i + 100i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 20i + 25i2) = 0

Factor a trinomial.
4((2 + 5i)(2 + 5i)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + 5i)' equal to zero and attempt to solve:

Simplifying
2 + 5i = 0

Solving
2 + 5i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 5i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5i = 0 + -2
5i = 0 + -2

Combine like terms: 0 + -2 = -2
5i = -2

Divide each side by '5'.
i = -0.4

Simplifying
i = -0.4

Subproblem 2
Set the factor '(2 + 5i)' equal to zero and attempt to solve:

Simplifying
2 + 5i = 0

Solving
2 + 5i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 5i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5i = 0 + -2
5i = 0 + -2

Combine like terms: 0 + -2 = -2
5i = -2

Divide each side by '5'.
i = -0.4

Simplifying
i = -0.4
Solution
i = {-0.4, -0.4}

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