Solve the rational equation. \frac{2x}{x+1}-\frac{3}{x+5}=\frac{-8x^{2}}

Brennan Flores

Brennan Flores

Answered question

2021-09-16

Solve the rational equation.
2xx+13x+5=8x2x2+6x+5

Answer & Explanation

dessinemoie

dessinemoie

Skilled2021-09-17Added 90 answers

2xx+13x+5=8x2x2+6x+5
Solving the given expression:
2xx+13x+5=8x2x2+6x+5
2x(x+5)3(x+1)(x+1)(x+5)=8x2x2+6x+5
2x2+10x3x3x2+5x+x+5=8x2x2+6x+5
2x2+7x3x2+6x+5=8x2x2+6x+5
2x2+7x3=8x2
2x2+8x2+7x3=0
10x2+7x3=0
10x2+10x3x3=0
10x(x+1)3(x+1)=0
(10x3)(x+1)=0
x=1,310

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