110=x(.1x)

Simple and best practice solution for 110=x(.1x) 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 110=x(.1x) equation:



110=x(.1x)
We move all terms to the left:
110-(x(.1x))=0
We add all the numbers together, and all the variables
-(x(+.1x))+110=0
We calculate terms in parentheses: -(x(+.1x)), so:
x(+.1x)
We multiply parentheses
x^2
Back to the equation:
-(x^2)
We add all the numbers together, and all the variables
-1x^2+110=0
a = -1; b = 0; c = +110;
Δ = b2-4ac
Δ = 02-4·(-1)·110
Δ = 440
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:
$\sqrt{\Delta}=\sqrt{440}=\sqrt{4*110}=\sqrt{4}*\sqrt{110}=2\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{110}}{2*-1}=\frac{0-2\sqrt{110}}{-2} =-\frac{2\sqrt{110}}{-2} =-\frac{\sqrt{110}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{110}}{2*-1}=\frac{0+2\sqrt{110}}{-2} =\frac{2\sqrt{110}}{-2} =\frac{\sqrt{110}}{-1} $

See similar equations:

| −5(2x−15)=2(x−7)−7 | | 3(5x+5)=2(4x-1)=3 | | -x=2.2x+0.9 | | 95m+370=35m+850 | | −19=−7x+44 | | 2(2z-4)=20 | | 18+2x=5(-x+3)-25 | | -8(2k-3)=80 | | -4(4x-5)=52 | | 10.75b+46695=24.50b | | 3.5d+7.75=4+4.25 | | 6v=−9 | | 24=u/2-13 | | 55+0.12x=42+0.17x | | ⅔x+4=6 | | 9m+1=91 | | 2x–4+7+5x=17 | | 16.90+4y=36.35 | | -8x/3+6=54 | | 21x+5=360 | | 2+2m=7 | | 2m-11=4 | | 50+0.12x=42+0.17x | | 378/5=x-32 | | 1/2(x-5)+x=17+3(4-x) | | 2m−11=7 | | 5+2.25=11.75h | | 5+2.25n=11.75 | | 34=2p | | 6x+7+8x=21 | | -5-66y+6=19 | | (4x)(4x)=0 |

Equations solver categories