(1/2)4x=180

Simple and best practice solution for (1/2)4x=180 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 (1/2)4x=180 equation:



(1/2)4x=180
We move all terms to the left:
(1/2)4x-(180)=0
Domain of the equation: 2)4x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+1/2)4x-180=0
We multiply parentheses
4x^2-180=0
a = 4; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·4·(-180)
Δ = 2880
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:
$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*4}=\frac{0-24\sqrt{5}}{8} =-\frac{24\sqrt{5}}{8} =-3\sqrt{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*4}=\frac{0+24\sqrt{5}}{8} =\frac{24\sqrt{5}}{8} =3\sqrt{5} $

See similar equations:

| 9m+22=2m-13 | | 40/50=36/a | | 5(x+2)=41 | | -120x3=-360 | | 3/m=26 | | 43/m=26 | | 4x–8+2x=40 | | 8=m14 | | 8k-40=15 | | 3n-5=16=n | | 4.7-2.5=7.7/x | | 161/x=7 | | 26/m=43 | | 4/9*n=18 | | 2x-20=6x+4 | | 22m-33=0 | | -2x+12=31 | | 22m-33=11 | | 12+x=46;x=34 | | 20=x-4;x=16 | | -5.20x=-8.90 | | y=-38-4× | | k-11/6=72 | | 4x=36*1 | | 1x=2.5*7 | | 12x=2.5*7 | | 42=-y/5 | | -7+5y=48 | | -5(2x+4)-2x=-92 | | 3(3x-1)=9x+5 | | 3(x+6)=40 | | 6V/6v=18 |

Equations solver categories