(9x+21)(11x-1)=180

Simple and best practice solution for (9x+21)(11x-1)=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 (9x+21)(11x-1)=180 equation:



(9x+21)(11x-1)=180
We move all terms to the left:
(9x+21)(11x-1)-(180)=0
We multiply parentheses ..
(+99x^2-9x+231x-21)-180=0
We get rid of parentheses
99x^2-9x+231x-21-180=0
We add all the numbers together, and all the variables
99x^2+222x-201=0
a = 99; b = 222; c = -201;
Δ = b2-4ac
Δ = 2222-4·99·(-201)
Δ = 128880
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:
$\sqrt{\Delta}=\sqrt{128880}=\sqrt{144*895}=\sqrt{144}*\sqrt{895}=12\sqrt{895}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(222)-12\sqrt{895}}{2*99}=\frac{-222-12\sqrt{895}}{198} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(222)+12\sqrt{895}}{2*99}=\frac{-222+12\sqrt{895}}{198} $

See similar equations:

| 4.6w+14=2.7w+4.5 | | 24-2(4p+8=56 | | 1/6x2−x−12=0 | | 38+6n=2(1+6n)-6 | | -10+3p=2p | | (x/9)-(4/9)=(4/5) | | 14+2x=260 | | 2y-4=-2y+12 | | 148=x° | | 16x2−x−12=0 | | 3x=-5x+18 | | 4(2x+1)=-2(x-4) | | 2(x+1)=-21 | | 3(15x+75)=630 | | 35=21a+14 | | 12-4x=-4(5-x) | | 3x=-5+18 | | 321-(7x+3)=x | | 1/3(18+12q)=6(2q-7) | | 12y-10=2(6y-5) | | 4x+4x-3+x+3=180 | | -5=m/4+-2 | | 15-6x=8(-5-x) | | 7x-3(4=x)=28 | | 3(-4)-z=-11 | | -5+4u=3u+1 | | 4w+-16=20 | | 7v−–4v+10=–1 | | 32=4n-9 | | -4(5h=2)–22=-4 | | 13(18+12q)=6(2q-7) | | -8=-4/3x |

Equations solver categories