150+30x=1/2x

Simple and best practice solution for 150+30x=1/2x 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 150+30x=1/2x equation:



150+30x=1/2x
We move all terms to the left:
150+30x-(1/2x)=0
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
30x-(+1/2x)+150=0
We get rid of parentheses
30x-1/2x+150=0
We multiply all the terms by the denominator
30x*2x+150*2x-1=0
Wy multiply elements
60x^2+300x-1=0
a = 60; b = 300; c = -1;
Δ = b2-4ac
Δ = 3002-4·60·(-1)
Δ = 90240
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:
$\sqrt{\Delta}=\sqrt{90240}=\sqrt{64*1410}=\sqrt{64}*\sqrt{1410}=8\sqrt{1410}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-8\sqrt{1410}}{2*60}=\frac{-300-8\sqrt{1410}}{120} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+8\sqrt{1410}}{2*60}=\frac{-300+8\sqrt{1410}}{120} $

See similar equations:

| x+0.15x=170 | | 38.68=8g+3.72 | | z−34=19 | | 8=r+1 | | F(x)=x^2-x.F(4x)= | | x+.15x=170 | | -14=-z | | 4(b+5)-9=-7 | | -5h+8+3h-12=h | | -8=h5 | | c+-26=-83 | | 5.75*x=115 | | 14=m+2 | | -2w+25=4w-9 | | -d=20 | | 2x+.5=6.5 | | x/4-3/1=2x/3 | | -5/3y+32=17 | | 1+17x=81-3x | | k8=8 | | x/6-1/3=12 | | 15n^2-37n+18= | | 1/4(8x-20)=-9 | | 18+37n-15n^2= | | z4=5 | | √4x-8=-6 | | X^2+43+12-2x=90 | | -7(2+4n)-6n=-82 | | m/2-8=16 | | 100x=5.9035 | | -3(x+2)+8x+6=1 | | -5r+2=17 |

Equations solver categories