(2+3i)(-2+3i)=

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Solution for (2+3i)(-2+3i)= equation:


Simplifying
(2 + 3i)(-2 + 3i) = 0

Multiply (2 + 3i) * (-2 + 3i)
(2(-2 + 3i) + 3i * (-2 + 3i)) = 0
((-2 * 2 + 3i * 2) + 3i * (-2 + 3i)) = 0
((-4 + 6i) + 3i * (-2 + 3i)) = 0
(-4 + 6i + (-2 * 3i + 3i * 3i)) = 0
(-4 + 6i + (-6i + 9i2)) = 0

Combine like terms: 6i + -6i = 0
(-4 + 0 + 9i2) = 0
(-4 + 9i2) = 0

Solving
-4 + 9i2 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 4 + 9i2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9i2 = 0 + 4
9i2 = 0 + 4

Combine like terms: 0 + 4 = 4
9i2 = 4

Divide each side by '9'.
i2 = 0.4444444444

Simplifying
i2 = 0.4444444444

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

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