(32x-8)/3x=10

Simple and best practice solution for (32x-8)/3x=10 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 (32x-8)/3x=10 equation:


x in (-oo:+oo)

x*((32*x-8)/3) = 10 // - 10

x*((32*x-8)/3)-10 = 0

(x*(32*x-8))/3-10 = 0

(x*(32*x-8))/3+(-10*3)/3 = 0

x*(32*x-8)-10*3 = 0

32*x^2-8*x-30 = 0

32*x^2-8*x-30 = 0

2*(16*x^2-4*x-15) = 0

16*x^2-4*x-15 = 0

DELTA = (-4)^2-(-15*4*16)

DELTA = 976

DELTA > 0

x = (976^(1/2)+4)/(2*16) or x = (4-976^(1/2))/(2*16)

x = (4*61^(1/2)+4)/32 or x = (4-4*61^(1/2))/32

2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)) = 0

(2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)))/3 = 0

(2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)))/3 = 0 // * 3

2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)) = 0

( x-((4*61^(1/2)+4)/32) )

x-((4*61^(1/2)+4)/32) = 0 // + (4*61^(1/2)+4)/32

x = (4*61^(1/2)+4)/32

( x-((4-4*61^(1/2))/32) )

x-((4-4*61^(1/2))/32) = 0 // + (4-4*61^(1/2))/32

x = (4-4*61^(1/2))/32

x in { (4*61^(1/2)+4)/32, (4-4*61^(1/2))/32 }

See similar equations:

| 3(x+2)=x-7 | | 3/2-1/5=y/7 | | 7w-36=2w | | Y^2+11y+42=0 | | .035x+x=26.25 | | 6x(2x-1)-12=3(7x+4) | | 4r+1=19 | | -7=2u-19 | | -5x+y=-1 | | 8a+4=6a-8 | | 2z-z+9whenz=3 | | 8y+30=214 | | -7y-37=6y | | 9b-7c-6b+5c= | | y=-7+10 | | 4(t-5)+6t=5(2t+3)-9 | | -7v+3=6 | | 7w-28=9(w-2) | | -1.6w+4.8=-3.2 | | -7y=-35 | | x+60=2x+-20 | | 80/20=10x | | 5p(p-3)= | | 8y-9=35 | | -6u+12=-u+2 | | 15x^2+36*x=31 | | -t^2-5t= | | 4ln(1/x)=1 | | 22-x=32 | | (7x)(x-4)=0 | | -t^2+2t= | | 103-2x=90 |

Equations solver categories