(6-i)(6+i)=37

Solution for (6-i)(6+i)=37 equation:

Simplifying
(6 + -1i)(6 + i) = 37

Multiply (6 + -1i) * (6 + i)
(6(6 + i) + -1i * (6 + i)) = 37
((6 * 6 + i * 6) + -1i * (6 + i)) = 37
((36 + 6i) + -1i * (6 + i)) = 37
(36 + 6i + (6 * -1i + i * -1i)) = 37
(36 + 6i + (-6i + -1i2)) = 37

Combine like terms: 6i + -6i = 0
(36 + 0 + -1i2) = 37
(36 + -1i2) = 37

Solving
36 + -1i2 = 37

Solving for variable 'i'.

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

Add '-36' to each side of the equation.
36 + -36 + -1i2 = 37 + -36

Combine like terms: 36 + -36 = 0
0 + -1i2 = 37 + -36
-1i2 = 37 + -36

Combine like terms: 37 + -36 = 1
-1i2 = 1

Divide each side by '-1'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.