x=4(-22/5)

Simple and best practice solution for x=4(-22/5) 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=4(-22/5) equation:



x=4(-22/5)
We move all terms to the left:
x-(4(-22/5))=0
We multiply all the terms by the denominator
x*5))-(4(-22=0
Wy multiply elements
5x^2-22=0
a = 5; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·5·(-22)
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*5}=\frac{0-2\sqrt{110}}{10} =-\frac{2\sqrt{110}}{10} =-\frac{\sqrt{110}}{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{110}}{2*5}=\frac{0+2\sqrt{110}}{10} =\frac{2\sqrt{110}}{10} =\frac{\sqrt{110}}{5} $

See similar equations:

| 5x+7=−14+8x 6) | | -1+8d=7d-9 | | 5^x^2=5^8+2x | | 5/7=1/7x+2/7 | | 2.75x-0.11=6x | | 5f=7f-8 | | -3(4r-12)-3r=-6r-9 | | 8(y+3)=3y-11 | | 2b-3=10b-3 | | 3m+38=m−32 | | -2(x-20)=44-x | | 8(-9x+4)=-3(6x+9)=5 | | ,2x/5+7=37 | | -9v+12=-6(v+3) | | 1/2+w=8-(3w/2) | | 4.5-6x=-2.1 | | (k-10)2=-7 | | 2r+10=3r | | –s/2–3=–1 | | 6(w-6)=2w-32 | | -8-10m=-9m | | x=59+34 | | 10x+4=134 | | 6p+17=19 | | 4x-1=-x | | 6=9y-12 | | -2x+16=-6(x-8) | | 4x-3=3x+56 | | x=4(-22/5)+19 | | -4m=-5-5m | | 4–0.6(3a+4)=7 | | -4(-2u+6)-7u=5(u-1)-1 |

Equations solver categories