(-4-6i)(-4+6i)=

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Solution for (-4-6i)(-4+6i)= equation:


Simplifying
(-4 + -6i)(-4 + 6i) = 0

Multiply (-4 + -6i) * (-4 + 6i)
(-4(-4 + 6i) + -6i * (-4 + 6i)) = 0
((-4 * -4 + 6i * -4) + -6i * (-4 + 6i)) = 0
((16 + -24i) + -6i * (-4 + 6i)) = 0
(16 + -24i + (-4 * -6i + 6i * -6i)) = 0
(16 + -24i + (24i + -36i2)) = 0

Combine like terms: -24i + 24i = 0
(16 + 0 + -36i2) = 0
(16 + -36i2) = 0

Solving
16 + -36i2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16 + -36i2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -36i2 = 0 + -16
-36i2 = 0 + -16

Combine like terms: 0 + -16 = -16
-36i2 = -16

Divide each side by '-36'.
i2 = 0.4444444444

Simplifying
i2 = 0.4444444444

Take the square root of each side:
i = {-0.666666667, 0.666666667}

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