48=2*w(w+2)

Simple and best practice solution for 48=2*w(w+2) 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 48=2*w(w+2) equation:



48=2w(w+2)
We move all terms to the left:
48-(2w(w+2))=0
We calculate terms in parentheses: -(2w(w+2)), so:
2w(w+2)
We multiply parentheses
2w^2+4w
Back to the equation:
-(2w^2+4w)
We get rid of parentheses
-2w^2-4w+48=0
a = -2; b = -4; c = +48;
Δ = b2-4ac
Δ = -42-4·(-2)·48
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-20}{2*-2}=\frac{-16}{-4} =+4 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+20}{2*-2}=\frac{24}{-4} =-6 $

See similar equations:

| x+51+92+x+63=180 | | 5-4b=7 | | 5x^2+7x-4=12 | | 0.6=4.9/x | | 10+9x=x+41 | | 7-8=b | | x+(x+1)=205 | | x+(x=1)=205 | | 4=-2{1/2x-1} | | u/12/8=8 | | 3x^2=10000 | | 8(3s+10)=176 | | Y=5x^2+7x-4 | | 5(q-10)=15 | | 3X*X-4x+9=0 | | 4(x-2)-2(3-2x=3(x-4) | | 0.3=5.1/x | | 4m^2-24m-32=0 | | 8z-6=z | | 9x-8-8-4x=3x-4 | | 10m-34=136 | | 15j+31=616 | | 2b^2+12b=60 | | 4p^2-16p=-12 | | 4.5/9.7=16.9/x | | 10+1/6x=1/2x+6 | | 4/x=32/72 | | 4/5x-5=12+3/5x | | d+39/7=16 | | 7x^2+14x=21 | | 1/2x+6=-1/2x+10 | | 655=5(h-704) |

Equations solver categories