9/(2x-1)=15/3x

Simple and best practice solution for 9/(2x-1)=15/3x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 9/(2x-1)=15/3x equation:


D( x )

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

9/(2*x-1) = (15/3)*x // - (15/3)*x

9/(2*x-1)-((15/3)*x) = 0

9/(2*x-1)-5*x = 0

9/(2*x-1)+(-5*x*(2*x-1))/(2*x-1) = 0

9-5*x*(2*x-1) = 0

5*x-10*x^2+9 = 0

5*x-10*x^2+9 = 0

5*x-10*x^2+9 = 0

DELTA = 5^2-(-10*4*9)

DELTA = 385

DELTA > 0

x = (385^(1/2)-5)/(-10*2) or x = (-385^(1/2)-5)/(-10*2)

x = (385^(1/2)-5)/(-20) or x = (385^(1/2)+5)/20

(x-((385^(1/2)-5)/(-20)))*(x-((385^(1/2)+5)/20)) = 0

((x-((385^(1/2)-5)/(-20)))*(x-((385^(1/2)+5)/20)))/(2*x-1) = 0

((x-((385^(1/2)-5)/(-20)))*(x-((385^(1/2)+5)/20)))/(2*x-1) = 0 // * 2*x-1

(x-((385^(1/2)-5)/(-20)))*(x-((385^(1/2)+5)/20)) = 0

( x-((385^(1/2)+5)/20) )

x-((385^(1/2)+5)/20) = 0 // + (385^(1/2)+5)/20

x = (385^(1/2)+5)/20

( x-((385^(1/2)-5)/(-20)) )

x-((385^(1/2)-5)/(-20)) = 0 // + (385^(1/2)-5)/(-20)

x = (385^(1/2)-5)/(-20)

x in { (385^(1/2)+5)/20, (385^(1/2)-5)/(-20) }

See similar equations:

| 3(4-5x)=4x-(4+3x-x)+3x+1 | | -3(x+3)-x-4=-4(x+5)+7 | | -m=24 | | -3/14=x/14 | | L+4=13 | | 3z+25=2z | | x/3=5.1 | | 4=14-m | | 2=-16+n | | 25+.20n=30+.10n | | -7/12x=3 | | 2-5j=62 | | 50x+20y=15 | | 2x^2-26x= | | x+.09=18966 | | 99=9p | | 6(3s+7)=114 | | 4+2(5x+1)=-14 | | X(2x+5)=(2x+3)(x+4) | | 5(2l+1)=95 | | 7x-8+12x=30 | | -6x+-1x=4 | | (x+1)11=(x+4)1 | | 19/8×24/19 | | 8x+5y+8z-3x+4z-7y= | | 6m+-15=-37 | | -2(1-7x)-5x=34 | | 9y-3(y-4)=18 | | -9=g+5 | | 2x+9x-7=15 | | 3x+4.5=12.25 | | x+0.09=18966 |

Equations solver categories