What is 3(-1+4i)-2(7-i) ?

The solution to 3(-1+4i)-2(7-i) is -17+14i

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simplify 3(-1+4i)-2(7-i)

simplify

3 (- 1 + 4 i) - 2 (7 - i)

- 17 + 14 i

Solution steps

3 (- 1 + 4 i) - 2 (7 - i)

Expand

3 (- 1 + 4 i) : - 3 + 12 i

= - 3 + 12 i - 2 (7 - i)

Expand

- 2 (7 - i) : - 14 + 2 i

= - 3 + 12 i - 14 + 2 i

Group like terms

= 12 i + 2 i - 3 - 14

Add similar elements:

12 i + 2 i = 14 i

= 14 i - 3 - 14

Subtract the numbers:

- 3 - 14 = - 17

= 14 i - 17

Rewrite in standard complex form:

- 17 + 14 i

= - 17 + 14 i

8 (5 - 3 x) - 4 (2 + 3 x) = 3

6 x = 2 x + 16

\frac{1}{6} < \frac{2 x - 19}{12} \leq \frac{2}{3}

i^{64}

\frac{50}{( 5 + 5 ) ^{3}}