What is (2i-3)-(7+1/5 i) ?

The solution to (2i-3)-(7+1/5 i) is -10+9/5 i

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simplify (2i-3)-(7+1/5 i)

simplify

(2 i - 3) - (7 + \frac{1}{5} i)

- 10 + \frac{9}{5} i

Solution steps

(2 i - 3) - (7 + \frac{1}{5} i)

Rewrite

2 i - 3

in standard complex form:

- 3 + 2 i

= - 3 + 2 i - (7 + \frac{1}{5} i)

Group the real part and the imaginary part of the complex number

(a + bi) - (c + d i) = (a - c) + (b - d) i

= (- 3 - 7) + (2 - \frac{1}{5}) i

Simplify

(- 3 - 7) + (2 - \frac{1}{5}) i : - 10 + \frac{9}{5} i

= - 10 + \frac{9}{5} i

(5 x + 20) (x - 5) = 0

x^{2} + 11 x + 18

(5^{3})^{- 6}

- 12 x - 17 = - 89

x = \frac{1}{2} (0.5) (4.2 - 400 x)^{2}