(10-I)(2+4i)=

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Solution for (10-I)(2+4i)= equation:


Simplifying
(10 + -1I)(2 + 4i) = 0

Multiply (10 + -1I) * (2 + 4i)
(10(2 + 4i) + -1I * (2 + 4i)) = 0
((2 * 10 + 4i * 10) + -1I * (2 + 4i)) = 0
((20 + 40i) + -1I * (2 + 4i)) = 0
(20 + 40i + (2 * -1I + 4i * -1I)) = 0
(20 + 40i + (-2I + -4iI)) = 0

Reorder the terms:
(20 + -2I + 40i + -4iI) = 0
(20 + -2I + 40i + -4iI) = 0

Solving
20 + -2I + 40i + -4iI = 0

Solving for variable 'I'.

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

Add '-20' to each side of the equation.
20 + -2I + 40i + -20 + -4iI = 0 + -20

Reorder the terms:
20 + -20 + -2I + 40i + -4iI = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -2I + 40i + -4iI = 0 + -20
-2I + 40i + -4iI = 0 + -20

Combine like terms: 0 + -20 = -20
-2I + 40i + -4iI = -20

Add '-40i' to each side of the equation.
-2I + 40i + -40i + -4iI = -20 + -40i

Combine like terms: 40i + -40i = 0
-2I + 0 + -4iI = -20 + -40i
-2I + -4iI = -20 + -40i

Reorder the terms:
20 + -2I + 40i + -4iI = -20 + -40i + 20 + 40i

Reorder the terms:
20 + -2I + 40i + -4iI = -20 + 20 + -40i + 40i

Combine like terms: -20 + 20 = 0
20 + -2I + 40i + -4iI = 0 + -40i + 40i
20 + -2I + 40i + -4iI = -40i + 40i

Combine like terms: -40i + 40i = 0
20 + -2I + 40i + -4iI = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -1I + 20i + -2iI) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + -1I + 20i + -2iI)' equal to zero and attempt to solve: Simplifying 10 + -1I + 20i + -2iI = 0 Solving 10 + -1I + 20i + -2iI = 0 Move all terms containing I to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1I + 20i + -10 + -2iI = 0 + -10 Reorder the terms: 10 + -10 + -1I + 20i + -2iI = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1I + 20i + -2iI = 0 + -10 -1I + 20i + -2iI = 0 + -10 Combine like terms: 0 + -10 = -10 -1I + 20i + -2iI = -10 Add '-20i' to each side of the equation. -1I + 20i + -20i + -2iI = -10 + -20i Combine like terms: 20i + -20i = 0 -1I + 0 + -2iI = -10 + -20i -1I + -2iI = -10 + -20i 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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