((x^2-9)/5)-((x^2-4)/15)=(1-2x)/3

Simple and best practice solution for ((x^2-9)/5)-((x^2-4)/15)=(1-2x)/3 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^2-9)/5)-((x^2-4)/15)=(1-2x)/3 equation: 


x in (-oo:+oo)

(x^2-9)/5-((x^2-4)/15) = (1-(2*x))/3 // - (1-(2*x))/3

(x^2-9)/5-((x^2-4)/15)-((1-(2*x))/3) = 0

(x^2-9)/5-((x^2-4)/15)-((1-2*x)/3) = 0

(x^2-9)/5+(-1*(x^2-4))/15+(-1*(1-2*x))/3 = 0

(3*15*(x^2-9))/(3*5*15)+(-1*3*5*(x^2-4))/(3*5*15)+(-1*5*15*(1-2*x))/(3*5*15) = 0

3*15*(x^2-9)-1*3*5*(x^2-4)-1*5*15*(1-2*x) = 0

30*x^2+150*x-345-75 = 0

30*x^2+150*x-420 = 0

30*x^2+150*x-420 = 0

30*(x^2+5*x-14) = 0

x^2+5*x-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-5)/(1*2) or x = (-81^(1/2)-5)/(1*2)

x = 2 or x = -7

30*(x+7)*(x-2) = 0

(30*(x+7)*(x-2))/(3*5*15) = 0

(30*(x+7)*(x-2))/(3*5*15) = 0 // * 3*5*15

30*(x+7)*(x-2) = 0

( 30 )

30 = 0

x belongs to the empty set

( x+7 )

x+7 = 0 // - 7

x = -7

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -7, 2 }

See similar equations:

| logx=.4 | | h=16t^2+160t+10 | | (x^2-9/5)-(x^2-4/15)=1-2x/3 | | r-17-1=-4.8 | | =(5x+15y)-(-28x+7y) | | m/9=133-2m | | 0666666667(12z-18)=2z-3 | | X^2+4=25-4x | | 8x-5=9x-8 | | 3(-4+1)+2y=-2 | | 0.4(15b-7)=3b-9 | | 3(4x-7)-2(5x-9)=33 | | -5x=3-2x^2 | | 4y-2y=3 | | 7+3y+2y-6= | | -F+k=-17 | | 9(2x-1)=3 | | 4x^2+y^2-4z^2-16x-6y+36=0 | | 6(0+0y)-7y=-20 | | 55x+3-37=6x+23-8x | | x^2+6x-(a^2+2a-8)=0 | | 3(0+-1y)-y=-4 | | 3x+3y=-x+5 | | 16x^3+200x=0 | | x+5x=4.5 | | f(a+2)=x+1 | | f(5a)=x+1 | | x-4y=34 | | x=2(x^9)-3(x^6) | | 3x6/5 | | (y^2+yx)dx+(x^2)dy=0 | | 2x+2(-5+2x)=-10+6x |

Equations solver categories