What is 2x+5-(25)/(1-2x) ?

The solution to 2x+5-(25)/(1-2x) is (-4x^2-8x-20)/(1-2x)

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simplify 2x+5-(25)/(1-2x)

simplify

2 x + 5 - \frac{25}{1 - 2 x}

\frac{- 4 x ^{2} - 8 x - 20}{1 - 2 x}

Solution steps

2 x + 5 - \frac{25}{1 - 2 x}

Convert

2 x

to fraction

: \frac{2 x ( 1 - 2 x )}{1 - 2 x}

Convert

5

to fraction

: \frac{5 ( 1 - 2 x )}{1 - 2 x}

= \frac{2 x ( 1 - 2 x )}{1 - 2 x} + \frac{5 ( 1 - 2 x )}{1 - 2 x} - \frac{25}{1 - 2 x}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2 x ( 1 - 2 x ) + 5 ( 1 - 2 x ) - 25}{1 - 2 x}

Simplify

2 x (1 - 2 x) + 5 (1 - 2 x) - 25 : - 4 x^{2} - 8 x - 20

= \frac{- 4 x ^{2} - 8 x - 20}{1 - 2 x}

\frac{x}{x + 1} (x - \frac{1}{x})

2 \div \frac{1}{5}

12 x^{4} - 20 x^{3} + 4 x^{2}

\frac{40}{44}

10 x + 10

What is 2x+5-(25)/(1-2x) ?
The solution to 2x+5-(25)/(1-2x) is (-4x^2-8x-20)/(1-2x)