132=192-(16+2x)(12+2x)

Simple and best practice solution for 132=192-(16+2x)(12+2x) 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 132=192-(16+2x)(12+2x) equation: 



132=192-(16+2x)(12+2x)

We move all terms to the left:

132-(192-(16+2x)(12+2x))=0

We add all the numbers together, and all the variables

-(192-(2x+16)(2x+12))+132=0

We multiply parentheses ..

-(192-(+4x^2+24x+32x+192))+132=0



We calculate terms in parentheses: -(192-(+4x^2+24x+32x+192)), so:

192-(+4x^2+24x+32x+192)

determiningTheFunctionDomain
-(+4x^2+24x+32x+192)+192

We get rid of parentheses

-4x^2-24x-32x-192+192

We add all the numbers together, and all the variables

-4x^2-56x

Back to the equation:

-(-4x^2-56x)



We get rid of parentheses

4x^2+56x+132=0

a = 4; b = 56; c = +132;
Δ = b2-4ac
Δ = 562-4·4·132
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-32}{2*4}=\frac{-88}{8}
=-11
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+32}{2*4}=\frac{-24}{8}
=-3
$

See similar equations:

| 5x–8=12 | | 2. 5x–8=12 | | -170=-40-5*x | | (21b-4)-5(4b+3)=-4 | | -1-8*x=177 | | 48-4*x=-8 | | 8-2*x=-8 | | b^2+24^2=9^2 | | 9-1/2n+5=4n | | P+.001x=30 | | -5=-9+4*x | | 34-3*x=-2 | | 4x+-1=68 | | 6m-5=2m+15 | | 1/3+y=15 | | V(x)=(24-2x)(9-2x)x | | 1/2-3/5=x/100 | | n+n=-2-3×6÷2+1 | | 2/3t=-4/9 | | 4-4/7b=5 | | 180-7x+5=0 | | (3/x)+(5/(2x))=12 | | 25+.22m=19.94 | | -2(k+6)-(-3k+3)=-2 | | -3(2u+8)-5u=7(u-2)-7 | | -7v+3(v+2)=-6 | | (-9)^2=2^3t+(3×6+1)t | | 30+.22m=26.04 | | (x2)+32=180 | | 35=2a=7a | | (Xx2)+32=180 | | 16.95+.77m=134.76 |

Equations solver categories