(9-8i)(7-7i)=

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Solution for (9-8i)(7-7i)= equation: 


Simplifying
(9 + -8i)(7 + -7i) = 0

Multiply (9 + -8i) * (7 + -7i)
(9(7 + -7i) + -8i * (7 + -7i)) = 0
((7 * 9 + -7i * 9) + -8i * (7 + -7i)) = 0
((63 + -63i) + -8i * (7 + -7i)) = 0
(63 + -63i + (7 * -8i + -7i * -8i)) = 0
(63 + -63i + (-56i + 56i2)) = 0

Combine like terms: -63i + -56i = -119i
(63 + -119i + 56i2) = 0

Solving
63 + -119i + 56i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '7'.
7(9 + -17i + 8i2) = 0

Factor a trinomial.
7((1 + -1i)(9 + -8i)) = 0

Ignore the factor 7.

Subproblem 1
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

Subproblem 2
Set the factor '(9 + -8i)' equal to zero and attempt to solve:

Simplifying
9 + -8i = 0

Solving
9 + -8i = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8i = 0 + -9
-8i = 0 + -9

Combine like terms: 0 + -9 = -9
-8i = -9

Divide each side by '-8'.
i = 1.125

Simplifying
i = 1.125
Solution
i = {1, 1.125}

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