(x-6)/3x-5=-4

Simple and best practice solution for (x-6)/3x-5=-4 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 (x-6)/3x-5=-4 equation:


x in (-oo:+oo)

x*((x-6)/3)-5 = -4 // + 4

x*((x-6)/3)-5+4 = 0

(x*(x-6))/3-5+4 = 0

(x*(x-6))/3+(-5*3)/3+(3*4)/3 = 0

x*(x-6)-5*3+3*4 = 0

x^2-6*x-15+12 = 0

x^2-6*x-3 = 0

x^2-6*x-3 = 0

x^2-6*x-3 = 0

DELTA = (-6)^2-(-3*1*4)

DELTA = 48

DELTA > 0

x = (48^(1/2)+6)/(1*2) or x = (6-48^(1/2))/(1*2)

x = (4*3^(1/2)+6)/2 or x = (6-4*3^(1/2))/2

(x-((6-4*3^(1/2))/2))*(x-((4*3^(1/2)+6)/2)) = 0

((x-((6-4*3^(1/2))/2))*(x-((4*3^(1/2)+6)/2)))/3 = 0

((x-((6-4*3^(1/2))/2))*(x-((4*3^(1/2)+6)/2)))/3 = 0 // * 3

(x-((6-4*3^(1/2))/2))*(x-((4*3^(1/2)+6)/2)) = 0

( x-((4*3^(1/2)+6)/2) )

x-((4*3^(1/2)+6)/2) = 0 // + (4*3^(1/2)+6)/2

x = (4*3^(1/2)+6)/2

( x-((6-4*3^(1/2))/2) )

x-((6-4*3^(1/2))/2) = 0 // + (6-4*3^(1/2))/2

x = (6-4*3^(1/2))/2

x in { (4*3^(1/2)+6)/2, (6-4*3^(1/2))/2 }

See similar equations:

| 1/6y^-8 | | 6x+6=4x+44 | | (3x-9)/6=-2 | | 9x^2-18x+8= | | (x-5)/4=8 | | 8x+24=2x+126 | | 2x+5x+73-33=180 | | X^3-x^2+5x=10 | | 2x^2+0x+8= | | 6x+92=8x+110 | | X^3-x^2+5=10 | | 5(2x-3)+3(2x+1)=12 | | -4ab*1/2ba2 | | 15x2y*-x3/3y | | 20x+(5-3)-3=4+(5-3) | | 4b-5b/4=2 | | -3(x+2)=-6(4x+1) | | 8x+8y=40 | | 8x+2y=40 | | 8x+6y=40 | | 2(-7-5x)=-94 | | 2/3*x-5/9*x=2 | | 8+2x=-4x-16 | | 3x=-5x+64 | | 2b+7=3b+5 | | 4y-0=22 | | 9x+8y=141 | | -2m^2-8m+40=0 | | 4y-1=22 | | x+x*4=40 | | 3^4x-3=1/81 | | 5x+89=465 |

Equations solver categories