Loading web-font TeX/Math/Italic

X+5/6x=10

Simple and best practice solution for X+5/6x=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 X+5/6x=10 equation: 



X+5/6X=10

We move all terms to the left:

X+5/6X-(10)=0



Domain of the equation: 6X!=0

X!=0/6

X!=0

X∈R



We multiply all the terms by the denominator


X*6X-10*6X+5=0

Wy multiply elements

6X^2-60X+5=0

a = 6; b = -60; c = +5;
Δ = b2-4ac
Δ = -602-4·6·5
Δ = 3480
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}

The end solution:


\sqrt{\Delta}=\sqrt{3480}=\sqrt{4*870}=\sqrt{4}*\sqrt{870}=2\sqrt{870}


X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-2\sqrt{870}}{2*6}=\frac{60-2\sqrt{870}}{12}



X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+2\sqrt{870}}{2*6}=\frac{60+2\sqrt{870}}{12}

See similar equations:

| 2/3(2t-7)+2/3t=-(95/3)-t | | 6c=c+25 | | -2a,-9=6a+15 | | (-0.4)=g/3-0.9 | | Z+36=3z | | x/8-1/2=1/2 | | 9-7(1+8k)=-35 | | 4(y+4)=12y | | y=4(-8)-18 | | y=6(-8)-2 | | 29-2x=5x+5 | | 28=4(7u) | | 28=4(9u) | | 28=4(4u) | | 2(3x+1-2)+x=12 | | 3x+4+3x+4+2x-1=79 | | 4x²+6x=-9 | | 4(17.5+-1.25y)+5y=70 | | 3x+4+3x+4+2x-1=180 | | 5y-3-9y=-25 | | 2(4x-1)+3=-7 | | X+12+2x-29+11x+1=180 | | 45+18-y=58 | | -40x+18+-20x+3+15x+9=180 | | 1200x+1000(1.5x)=2354400 | | 78-y=73 | | -40x+18+-20x+2+15x+9=180 | | 16=2|3-x| | | 180/x=2.333333333 | | 3/8+n=1/4 | | 4x-2+68+68=180 | | (4x-2)+68+68=180 |

Equations solver categories