What is ((ix+1+6i))/i ?

The solution to ((ix+1+6i))/i is (x+6)-i

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simplify ((ix+1+6i))/i

simplify

\frac{( i x + 1 + 6 i )}{i}

(x + 6) - i

Solution steps

\frac{i x + 1 + 6 i}{i}

Rewrite

i x + 1 + 6 i

in standard complex form:

1 + (x + 6) i

= \frac{1 + ( x + 6 ) i}{i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 1 + ( x + 6 ) i ) ( - i )}{i ( - i )}

Simplify

\frac{( 1 + ( x + 6 ) i ) ( - i )}{i ( - i )} : \frac{- i + x + 6}{1}

= \frac{- i + x + 6}{1}

Rewrite in standard complex form:

(x + 6) - i

= (x + 6) - i

7 x^{2} - 6 x = 0

(- 2 x)^{3}

9 (x + 7) \geq 198

1 - \frac{1}{8}

\frac{\frac{m}{4} - \frac{1}{m}}{\frac{1}{3 m} + \frac{1}{6}}