(4+3i)x(4-3i)=

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Solution for (4+3i)x(4-3i)= equation:


Simplifying
(4 + 3i) * x(4 + -3i) = 0

Reorder the terms for easier multiplication:
x(4 + 3i)(4 + -3i) = 0

Multiply (4 + 3i) * (4 + -3i)
x(4(4 + -3i) + 3i * (4 + -3i)) = 0
x((4 * 4 + -3i * 4) + 3i * (4 + -3i)) = 0
x((16 + -12i) + 3i * (4 + -3i)) = 0
x(16 + -12i + (4 * 3i + -3i * 3i)) = 0
x(16 + -12i + (12i + -9i2)) = 0

Combine like terms: -12i + 12i = 0
x(16 + 0 + -9i2) = 0
x(16 + -9i2) = 0
(16 * x + -9i2 * x) = 0

Reorder the terms:
(-9i2x + 16x) = 0
(-9i2x + 16x) = 0

Solving
-9i2x + 16x = 0

Solving for variable 'i'.

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

Add '-16x' to each side of the equation.
-9i2x + 16x + -16x = 0 + -16x

Combine like terms: 16x + -16x = 0
-9i2x + 0 = 0 + -16x
-9i2x = 0 + -16x
Remove the zero:
-9i2x = -16x

Divide each side by '-9x'.
i2 = 1.777777778

Simplifying
i2 = 1.777777778

Take the square root of each side:
i = {-1.333333333, 1.333333333}

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