(2w-3)(w-3)=55

Simple and best practice solution for (2w-3)(w-3)=55 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 (2w-3)(w-3)=55 equation:



(2w-3)(w-3)=55
We move all terms to the left:
(2w-3)(w-3)-(55)=0
We multiply parentheses ..
(+2w^2-6w-3w+9)-55=0
We get rid of parentheses
2w^2-6w-3w+9-55=0
We add all the numbers together, and all the variables
2w^2-9w-46=0
a = 2; b = -9; c = -46;
Δ = b2-4ac
Δ = -92-4·2·(-46)
Δ = 449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{449}}{2*2}=\frac{9-\sqrt{449}}{4} $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{449}}{2*2}=\frac{9+\sqrt{449}}{4} $

See similar equations:

| n/3+9=18 | | 7m-2=14 | | x-13+x+4x-11=180 | | 63z−72=54z−36 | | (4+9i)(6−2i)=0 | | (3x+1)^2+(x+2)^2-(65)=0 | | 4/3(x-5)=-24 | | (x+5)+(2x-14)= | | -5(6+x)=-100 | | 10+4x-6=14x+11-10x | | r2-4r+4=7+91+ | | -172=8+5m | | 2x-8=-70 | | -5(6+x)=100 | | -16=14-3y | | 2√x-√(4x-11)=1 | | t+4=20 | | 6(n-1)=9(n-4) | | Y+5z=-35 | | S=16t²+8+64 | | 3x+2-7x=18 | | 7y-9=12 | | x+9x+5x=10-12-18 | | 6x+2x=8-3x | | 2s-10s=56 | | 6s-6=5s+(-5) | | 2(5d+5)=30 | | 9(8n+8)=144 | | 8(4u+5)=200 | | −3x2+36x−60=0 | | |-y|-2=29 | | x(x+35)=114 |

Equations solver categories