X=9(y+13)(y-8)

Simple and best practice solution for X=9(y+13)(y-8) 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 X=9(y+13)(y-8) equation:



X=9(X+13)(X-8)
We move all terms to the left:
X-(9(X+13)(X-8))=0
We multiply parentheses ..
-(9(+X^2-8X+13X-104))+X=0
We calculate terms in parentheses: -(9(+X^2-8X+13X-104)), so:
9(+X^2-8X+13X-104)
We multiply parentheses
9X^2-72X+117X-936
We add all the numbers together, and all the variables
9X^2+45X-936
Back to the equation:
-(9X^2+45X-936)
We add all the numbers together, and all the variables
X-(9X^2+45X-936)=0
We get rid of parentheses
-9X^2+X-45X+936=0
We add all the numbers together, and all the variables
-9X^2-44X+936=0
a = -9; b = -44; c = +936;
Δ = b2-4ac
Δ = -442-4·(-9)·936
Δ = 35632
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:
$\sqrt{\Delta}=\sqrt{35632}=\sqrt{16*2227}=\sqrt{16}*\sqrt{2227}=4\sqrt{2227}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4\sqrt{2227}}{2*-9}=\frac{44-4\sqrt{2227}}{-18} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4\sqrt{2227}}{2*-9}=\frac{44+4\sqrt{2227}}{-18} $

See similar equations:

| 6w+7+9w=16w | | 13y+11=115 | | -0.10(67)+0.55x=0.05(x-14) | | 20g2=16g | | 7-2(3x+11)=-12 | | 5a-37+5a=7a+8 | | 7x=14;x= | | y-5/6y=7 | | 7-2(3x=11)=-12 | | 4=-(1+x)/2 | | 7/5+4/5x=27/10+7/2x+1/2 | | 2x2-19x+24=0 | | 11x=374. | | 1.5-6x=1.2+5x | | c+c+9=c+48 | | 0.15y+0.02(y+4000)=930 | | u-40+u-40=u-9 | | 2x2-19+24=0 | | 2(x-1)3x=x-12 | | 3(-2x+5)+2=0.5(5x-4) | | t+t-37=t+38 | | 4t+1/5=t+9/10+t-7/10 | | 17x+16=304 | | 5/4/45=80/x | | 17a+16=304 | | 45/5/4=80/x | | 4(7x-24)=9 | | 12x-4-9x2=0 | | 3(x=7)=6(x+2) | | 36+a+30=4a-7 | | 3x+42/6+x+18/5=12 | | 2x(3x+25)=0 |

Equations solver categories