(6-6i)*(9+I)=

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Solution for (6-6i)*(9+I)= equation:


Simplifying
(6 + -6i)(9 + I) = 0

Multiply (6 + -6i) * (9 + I)
(6(9 + I) + -6i * (9 + I)) = 0
((9 * 6 + I * 6) + -6i * (9 + I)) = 0
((54 + 6I) + -6i * (9 + I)) = 0
(54 + 6I + (9 * -6i + I * -6i)) = 0
(54 + 6I + (-54i + -6iI)) = 0
(54 + 6I + -54i + -6iI) = 0

Solving
54 + 6I + -54i + -6iI = 0

Solving for variable 'I'.

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

Add '-54' to each side of the equation.
54 + 6I + -54i + -54 + -6iI = 0 + -54

Reorder the terms:
54 + -54 + 6I + -54i + -6iI = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 6I + -54i + -6iI = 0 + -54
6I + -54i + -6iI = 0 + -54

Combine like terms: 0 + -54 = -54
6I + -54i + -6iI = -54

Add '54i' to each side of the equation.
6I + -54i + 54i + -6iI = -54 + 54i

Combine like terms: -54i + 54i = 0
6I + 0 + -6iI = -54 + 54i
6I + -6iI = -54 + 54i

Reorder the terms:
54 + 6I + -54i + -6iI = -54 + 54i + 54 + -54i

Reorder the terms:
54 + 6I + -54i + -6iI = -54 + 54 + 54i + -54i

Combine like terms: -54 + 54 = 0
54 + 6I + -54i + -6iI = 0 + 54i + -54i
54 + 6I + -54i + -6iI = 54i + -54i

Combine like terms: 54i + -54i = 0
54 + 6I + -54i + -6iI = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(9 + I + -9i + -1iI) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(9 + I + -9i + -1iI)' equal to zero and attempt to solve: Simplifying 9 + I + -9i + -1iI = 0 Solving 9 + I + -9i + -1iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + I + -9i + -9 + -1iI = 0 + -9 Reorder the terms: 9 + -9 + I + -9i + -1iI = 0 + -9 Combine like terms: 9 + -9 = 0 0 + I + -9i + -1iI = 0 + -9 I + -9i + -1iI = 0 + -9 Combine like terms: 0 + -9 = -9 I + -9i + -1iI = -9 Add '9i' to each side of the equation. I + -9i + 9i + -1iI = -9 + 9i Combine like terms: -9i + 9i = 0 I + 0 + -1iI = -9 + 9i I + -1iI = -9 + 9i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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