2=x/(1.5-2x)^2

Simple and best practice solution for 2=x/(1.5-2x)^2 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 2=x/(1.5-2x)^2 equation: 


D( x )

(1.5-(2*x))^2 = 0

(1.5-(2*x))^2 = 0

(1.5-(2*x))^2 = 0

(1.5-2*x)^2 = 0

1.5-2*x = 0 // - 1.5

-2*x = -1.5 // : -2

x = -1.5/(-2)

x = 0.75

x in (-oo:0.75) U (0.75:+oo)

2 = x/((1.5-(2*x))^2) // - x/((1.5-(2*x))^2)

2-(x/((1.5-(2*x))^2)) = 0

2-(x/((1.5-2*x)^2)) = 0

(-1*x)/((1.5-2*x)^2)+2 = 0

(-1*x)/((1.5-2*x)^2)+(2*(1.5-2*x)^2)/((1.5-2*x)^2) = 0

2*(1.5-2*x)^2-1*x = 0

8*x^2-13*x+2*1.5^2 = 0

8*x^2-13*x+2*1.5^2 = 0

8*x^2-13*x+2*1.5^2 = 0

DELTA = (-13)^2-(2*4*8*1.5^2)

DELTA = 169-64*1.5^2

DELTA = 25

DELTA > 0

x = ((169-64*1.5^2)^(1/2)+13)/(2*8) or x = (13-(169-64*1.5^2)^(1/2))/(2*8)

x = 9/8 or x = 1/2

(x-1/2)*(x-9/8) = 0

((x-1/2)*(x-9/8))/((1.5-2*x)^2) = 0

((x-1/2)*(x-9/8))/((1.5-2*x)^2) = 0 // * (1.5-2*x)^2

(x-1/2)*(x-9/8) = 0

( x-1/2 )

x-1/2 = 0 // + 1/2

x = 1/2

( x-9/8 )

x-9/8 = 0 // + 9/8

x = 9/8

x in { 1/2, 9/8 }

See similar equations:

| (400000X+(500000*1.2X))-1750000=100000 | | 7.2=1.8*X | | 2-(3x+5)=2y-4 | | 400X+(500*1.2X)=100 | | 4(3x-2)=2(3+5x) | | 2=x/1.5-2x | | -2(5x-7)=44 | | 3x+11-x=15+x | | ln(3x+3)=2 | | 9x-(-7)=-7 | | (1w-5)=(-5-5w) | | 4-3x=5x+8 | | 18+12x=38+40x+5 | | 4-3x=5+8 | | 5(v-5)-8v=-28 | | 3a+7y-a= | | 4x−1=4−3/2x | | (x+4)(3x+8)=0 | | 5(y+9)=8y+24 | | X+3y=73 | | 7(1-4b)=7b+7 | | 10x+3=9x-3 | | 28n=-28 | | 9-(3/4)X=57 | | sin^2(X)-3*sin(X)-4=0 | | =375 | | -(x^4/x^-8)^2 | | 4c-19=-3(c+4) | | 3x+8x+4x=5x+23 | | (2/5)X-3=-17 | | 7(5-x)=3(x+1)-10 | | (3w^2)-7w=0 |

Equations solver categories