(1+5i)(-i)-(4+3i)(4-3i)=equation

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Solution for (1+5i)(-i)-(4+3i)(4-3i)=equation equation:


Simplifying
(1 + 5i)(-1i) + -1(4 + 3i)(4 + -3i) = equation

Remove parenthesis around (-1i)
(1 + 5i) * -1i + -1(4 + 3i)(4 + -3i) = equation

Reorder the terms for easier multiplication:
-1i(1 + 5i) + -1(4 + 3i)(4 + -3i) = equation
(1 * -1i + 5i * -1i) + -1(4 + 3i)(4 + -3i) = equation
(-1i + -5i2) + -1(4 + 3i)(4 + -3i) = equation

Multiply (4 + 3i) * (4 + -3i)
-1i + -5i2 + -1(4(4 + -3i) + 3i * (4 + -3i)) = equation
-1i + -5i2 + -1((4 * 4 + -3i * 4) + 3i * (4 + -3i)) = equation
-1i + -5i2 + -1((16 + -12i) + 3i * (4 + -3i)) = equation
-1i + -5i2 + -1(16 + -12i + (4 * 3i + -3i * 3i)) = equation
-1i + -5i2 + -1(16 + -12i + (12i + -9i2)) = equation

Combine like terms: -12i + 12i = 0
-1i + -5i2 + -1(16 + 0 + -9i2) = equation
-1i + -5i2 + -1(16 + -9i2) = equation
-1i + -5i2 + (16 * -1 + -9i2 * -1) = equation
-1i + -5i2 + (-16 + 9i2) = equation

Reorder the terms:
-16 + -1i + -5i2 + 9i2 = equation

Combine like terms: -5i2 + 9i2 = 4i2
-16 + -1i + 4i2 = equation

Solving
-16 + -1i + 4i2 = aeinoqtu

Solving for variable 'i'.

Reorder the terms:
-16 + -1aeinoqtu + -1i + 4i2 = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
-16 + -1aeinoqtu + -1i + 4i2 = 0

The solution to this equation could not be determined.

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