(4a/(a+15))=(4/(a-9))

Simple and best practice solution for (4a/(a+15))=(4/(a-9)) 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 (4a/(a+15))=(4/(a-9)) equation:


D( a )

a+15 = 0

a-9 = 0

a+15 = 0

a+15 = 0

a+15 = 0 // - 15

a = -15

a-9 = 0

a-9 = 0

a-9 = 0 // + 9

a = 9

a in (-oo:-15) U (-15:9) U (9:+oo)

(4*a)/(a+15) = 4/(a-9) // - 4/(a-9)

(4*a)/(a+15)-(4/(a-9)) = 0

(4*a)/(a+15)-4*(a-9)^-1 = 0

(4*a)/(a+15)-4/(a-9) = 0

(4*a*(a-9))/((a+15)*(a-9))+(-4*(a+15))/((a+15)*(a-9)) = 0

4*a*(a-9)-4*(a+15) = 0

4*a^2-40*a-60 = 0

4*a^2-40*a-60 = 0

4*(a^2-10*a-15) = 0

a^2-10*a-15 = 0

DELTA = (-10)^2-(-15*1*4)

DELTA = 160

DELTA > 0

a = (160^(1/2)+10)/(1*2) or a = (10-160^(1/2))/(1*2)

a = (4*10^(1/2)+10)/2 or a = (10-4*10^(1/2))/2

4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)) = 0

(4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)))/((a+15)*(a-9)) = 0

(4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)))/((a+15)*(a-9)) = 0 // * (a+15)*(a-9)

4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)) = 0

( a-((10-4*10^(1/2))/2) )

a-((10-4*10^(1/2))/2) = 0 // + (10-4*10^(1/2))/2

a = (10-4*10^(1/2))/2

( a-((4*10^(1/2)+10)/2) )

a-((4*10^(1/2)+10)/2) = 0 // + (4*10^(1/2)+10)/2

a = (4*10^(1/2)+10)/2

a in { (10-4*10^(1/2))/2, (4*10^(1/2)+10)/2 }

See similar equations:

| 6.8-4.2n=5.6n-3 | | 3t^2=-22t-40 | | -3x+9+7x=25 | | 8f+12=7a+9 | | 16-x=36 | | A(j-4)=18 | | 5x-2=-7x+20 | | 54/q=15-q | | 81x^2+20x+125=0 | | 8*8+3= | | 16-x=16 | | -5n-2n=30+3 | | 4(a-3)=-3(2+4a) | | 3y+8=4y-12 | | 5(n-3)+5(n-5)=40 | | 4x-4y=24findy | | 2h+6=66 | | 6(x-5)=5(x+7) | | -w=-w+5 | | 1.2+0.5+1.3= | | 8x+3+9x+6=145 | | x+6/2+5=15 | | -9+m=-(-2m+4) | | 7(-3+x)=56 | | x+3x+5x-4x= | | -40=-14+n | | c+10=13 | | 6-6x=x+5(-x-2) | | 5x+2=8x-31 | | -(x-4)+5=4x+1-5x | | c/8-12=48 | | j/7-9=5/6 |

Equations solver categories