Loading web-font TeX/Math/Italic

7/8x-5/3x=3

Simple and best practice solution for 7/8x-5/3x=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 7/8x-5/3x=3 equation:



7/8x-5/3x=3
We move all terms to the left:
7/8x-5/3x-(3)=0
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We calculate fractions
21x/24x^2+(-40x)/24x^2-3=0
We multiply all the terms by the denominator
21x+(-40x)-3*24x^2=0
Wy multiply elements
-72x^2+21x+(-40x)=0
We get rid of parentheses
-72x^2+21x-40x=0
We add all the numbers together, and all the variables
-72x^2-19x=0
a = -72; b = -19; c = 0;
Δ = b2-4ac
Δ = -192-4·(-72)·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}

\sqrt{\Delta}=\sqrt{361}=19
x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-19}{2*-72}=\frac{0}{-144} =0
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+19}{2*-72}=\frac{38}{-144} =-19/72

See similar equations:

| 9a+3a-6=32 | | 49d^2-36d+0=0 | | 1x(56)=31 | | (1/2)x-3=(1/5)x+6 | | 8/10=x/12 | | 7x+2-(3x+5)=17 | | -4-8=6y+32 | | 7x+-1=3x+1 | | -16+8x=7(x-3) | | 6v+8-v=5(v+3) | | 5/3x+1/3x=10+7/3x | | 23=4b-1+4b | | 4x-1/3=7/3 | | y=4+0.5 | | (1/2x)-3=(1/5x)+6 | | 5(x-2)+10=40 | | 80=105-5m | | 5(4x-3)+10x=3(x+4) | | (2004)(20,000)=3,421x | | {-4}x=320 | | 50h=190-45 | | x2-10x-24=0 | | 4x^2=5-19x | | 6(u-2)=-8u+2 | | (4d2-3d+6)d=-3/2 | | Y=(0.95)r+2 | | -16-6n=8(5n-2) | | -3-12=5y+36 | | |x|=18 | | 32=9n+14 | | 5.5=5/x | | -28y+22=0 |

Equations solver categories