Solve the equation. \frac{9}{2x+6}-\frac{7}{5x+15}=\frac{2}{3}

tornesasln

tornesasln

Answered question

2021-11-20

Solve the equation.
92x+675x+15=23

Answer & Explanation

Ryan Willis

Ryan Willis

Beginner2021-11-21Added 15 answers

Step 1
Given
92x+675x+15=23
Step 2
92x+675x+15=23
9(5x+15)7(2x+6)(2x+6)(5x+15)=23
45x+13514x4210x2+60x+90=23
31x+9310x2+60x+90=23
93x+279=20x2+120x+180
20x2+27x99=0
x=27±(27)24(20)(99)2(20)
=27±729792040
=27±i84.7940
=2740±i84.7940
No real solution

Louis Gregory

Louis Gregory

Beginner2021-11-22Added 14 answers

9/2x+6 - 7/5x+15 = 2/3
9/2x+6 -7/5x+15 - 2/3=
9/2x- 7/5x +6+15 - 2/3=
(9/2x- 7/5x) +(6+15 - 2/3)=
31/10 x= -61/3
x= - 610/93
Substitute.
9/2 (- 610/93)+6 - 7/5(- 610/93)+15 = 2/3
9/2 (- 610/93)- 7/5(- 610/93)= 2/3-6-15
-20,333=-20,333

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