(7-7i)(7+I)=

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


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

Multiply (7 + -7i) * (7 + I)
(7(7 + I) + -7i * (7 + I)) = 0
((7 * 7 + I * 7) + -7i * (7 + I)) = 0
((49 + 7I) + -7i * (7 + I)) = 0
(49 + 7I + (7 * -7i + I * -7i)) = 0
(49 + 7I + (-49i + -7iI)) = 0
(49 + 7I + -49i + -7iI) = 0

Solving
49 + 7I + -49i + -7iI = 0

Solving for variable 'I'.

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

Add '-49' to each side of the equation.
49 + 7I + -49i + -49 + -7iI = 0 + -49

Reorder the terms:
49 + -49 + 7I + -49i + -7iI = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 7I + -49i + -7iI = 0 + -49
7I + -49i + -7iI = 0 + -49

Combine like terms: 0 + -49 = -49
7I + -49i + -7iI = -49

Add '49i' to each side of the equation.
7I + -49i + 49i + -7iI = -49 + 49i

Combine like terms: -49i + 49i = 0
7I + 0 + -7iI = -49 + 49i
7I + -7iI = -49 + 49i

Reorder the terms:
49 + 7I + -49i + -7iI = -49 + 49i + 49 + -49i

Reorder the terms:
49 + 7I + -49i + -7iI = -49 + 49 + 49i + -49i

Combine like terms: -49 + 49 = 0
49 + 7I + -49i + -7iI = 0 + 49i + -49i
49 + 7I + -49i + -7iI = 49i + -49i

Combine like terms: 49i + -49i = 0
49 + 7I + -49i + -7iI = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(7 + I + -7i + -1iI) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(7 + I + -7i + -1iI)' equal to zero and attempt to solve: Simplifying 7 + I + -7i + -1iI = 0 Solving 7 + I + -7i + -1iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + I + -7i + -7 + -1iI = 0 + -7 Reorder the terms: 7 + -7 + I + -7i + -1iI = 0 + -7 Combine like terms: 7 + -7 = 0 0 + I + -7i + -1iI = 0 + -7 I + -7i + -1iI = 0 + -7 Combine like terms: 0 + -7 = -7 I + -7i + -1iI = -7 Add '7i' to each side of the equation. I + -7i + 7i + -1iI = -7 + 7i Combine like terms: -7i + 7i = 0 I + 0 + -1iI = -7 + 7i I + -1iI = -7 + 7i 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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