(-7+7i)(-6+7i)=

Solution for (-7+7i)(-6+7i)= equation:

Simplifying
(-7 + 7i)(-6 + 7i) = 0

Multiply (-7 + 7i) * (-6 + 7i)
(-7(-6 + 7i) + 7i * (-6 + 7i)) = 0
((-6 * -7 + 7i * -7) + 7i * (-6 + 7i)) = 0
((42 + -49i) + 7i * (-6 + 7i)) = 0
(42 + -49i + (-6 * 7i + 7i * 7i)) = 0
(42 + -49i + (-42i + 49i2)) = 0

Combine like terms: -49i + -42i = -91i
(42 + -91i + 49i2) = 0

Solving
42 + -91i + 49i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '7'.
7(6 + -13i + 7i2) = 0

Factor a trinomial.
7((6 + -7i)(1 + -1i)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(6 + -7i)' equal to zero and attempt to solve:

Simplifying
6 + -7i = 0

Solving
6 + -7i = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7i = 0 + -6
-7i = 0 + -6

Combine like terms: 0 + -6 = -6
-7i = -6

Divide each side by '-7'.
i = 0.8571428571

Simplifying
i = 0.8571428571
Subproblem 2
Set the factor '(1 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

Solving
1 + -1i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1i = 0 + -1

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

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

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

Simplifying
i = 1
Solution
i = {0.8571428571, 1}