(35-5i)(7+i)=

Solution for (35-5i)(7+i)= equation:

Simplifying
(35 + -5i)(7 + i) = 0

Multiply (35 + -5i) * (7 + i)
(35(7 + i) + -5i * (7 + i)) = 0
((7 * 35 + i * 35) + -5i * (7 + i)) = 0
((245 + 35i) + -5i * (7 + i)) = 0
(245 + 35i + (7 * -5i + i * -5i)) = 0
(245 + 35i + (-35i + -5i2)) = 0

Combine like terms: 35i + -35i = 0
(245 + 0 + -5i2) = 0
(245 + -5i2) = 0

Solving
245 + -5i2 = 0

Solving for variable 'i'.

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

Add '-245' to each side of the equation.
245 + -245 + -5i2 = 0 + -245

Combine like terms: 245 + -245 = 0
0 + -5i2 = 0 + -245
-5i2 = 0 + -245

Combine like terms: 0 + -245 = -245
-5i2 = -245

Divide each side by '-5'.
i2 = 49

Simplifying
i2 = 49

Take the square root of each side:
i = {-7, 7}