(4+7i)(4-7i)=

Solution for (4+7i)(4-7i)= equation:

Simplifying
(4 + 7i)(4 + -7i) = 0

Multiply (4 + 7i) * (4 + -7i)
(4(4 + -7i) + 7i * (4 + -7i)) = 0
((4 * 4 + -7i * 4) + 7i * (4 + -7i)) = 0
((16 + -28i) + 7i * (4 + -7i)) = 0
(16 + -28i + (4 * 7i + -7i * 7i)) = 0
(16 + -28i + (28i + -49i2)) = 0

Combine like terms: -28i + 28i = 0
(16 + 0 + -49i2) = 0
(16 + -49i2) = 0

Solving
16 + -49i2 = 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 + -49i2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -49i2 = 0 + -16
-49i2 = 0 + -16

Combine like terms: 0 + -16 = -16
-49i2 = -16

Divide each side by '-49'.
i2 = 0.3265306122

Simplifying
i2 = 0.3265306122

Take the square root of each side:
i = {-0.571428571, 0.571428571}