What is ((0+4i)(8+4i))/(6+4i) ?

The solution to ((0+4i)(8+4i))/(6+4i) is 8/13+64/13 i

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simplify ((0+4i)(8+4i))/(6+4i)

simplify

\frac{( 0 + 4 i ) ( 8 + 4 i )}{6 + 4 i}

\frac{8}{13} + \frac{64}{13} i

Solution steps

\frac{( 0 + 4 i ) ( 8 + 4 i )}{6 + 4 i}

Multiply by the conjugate

\frac{6 - 4 i}{6 - 4 i}

= \frac{( 0 + 4 i ) ( 8 + 4 i ) ( 6 - 4 i )}{( 6 + 4 i ) ( 6 - 4 i )}

Simplify

\frac{( 0 + 4 i ) ( 8 + 4 i ) ( 6 - 4 i )}{( 6 + 4 i ) ( 6 - 4 i )} : \frac{32 + 256 i}{52}

= \frac{32 + 256 i}{52}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{32}{52} + \frac{256}{52} i

Simplify

\frac{32}{52} + \frac{256}{52} i : \frac{8}{13} + \frac{64}{13} i

= \frac{8}{13} + \frac{64}{13} i

∣ 4 x + 8 ∣ - 1 = 10

\frac{5}{4} - 2

x + 1 < \frac{5 x - 3}{x - 3}

10.029 = 0.0025 x^{2} + 0.005 x

\frac{5 x - 8}{- 3} > 8

What is ((0+4i)(8+4i))/(6+4i) ?
The solution to ((0+4i)(8+4i))/(6+4i) is 8/13+64/13 i