6(x-12)(3x-12)=720

Simple and best practice solution for 6(x-12)(3x-12)=720 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 6(x-12)(3x-12)=720 equation:



6(x-12)(3x-12)=720
We move all terms to the left:
6(x-12)(3x-12)-(720)=0
We multiply parentheses ..
6(+3x^2-12x-36x+144)-720=0
We multiply parentheses
18x^2-72x-216x+864-720=0
We add all the numbers together, and all the variables
18x^2-288x+144=0
a = 18; b = -288; c = +144;
Δ = b2-4ac
Δ = -2882-4·18·144
Δ = 72576
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:
$\sqrt{\Delta}=\sqrt{72576}=\sqrt{5184*14}=\sqrt{5184}*\sqrt{14}=72\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-288)-72\sqrt{14}}{2*18}=\frac{288-72\sqrt{14}}{36} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-288)+72\sqrt{14}}{2*18}=\frac{288+72\sqrt{14}}{36} $

See similar equations:

| p/3+13=17 | | 22=-2y+6(y-3) | | 2x+7(x-4)=-37 | | 38=27+x | | 26=-8u+6(u+6) | | 26=8u+6(u+6) | | -5x+3-3x=-4-33 | | 48=x/2+25 | | 2x+25=48 | | –3a+3a+6=7 | | 20-4a=-16 | | x^{4}-16=0 | | $$x^{4}-16=0$$ | | -2x^2+48x+50=0 | | (-7.4)+a=9.11 | | 3(x+.75)=5.88 | | (x+4)+8=1 | | x=15=81 | | 3x=1=27 | | 6x-5-2x=7+12 | | 9-x=-14 | | 85+15m=355 | | 33n-221=340 | | -2(3w-5)+2w=2(w+3) | | 5(y-1)=5y+2-3(-2y-1) | | 0.5h-3.25=7.5 | | 12(b+11)=228 | | 12b-10b+2b=4 | | 3(x-7)-9=-4(-5x+5)-x | | 11u-7u+4u+u-7=20 | | x^2=236-15x | | 4r-2r+2r=12 |

Equations solver categories