(9x-8)(2x-7)=0

Simple and best practice solution for (9x-8)(2x-7)=0 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-8)(2x-7)=0 equation:



(9x-8)(2x-7)=0
We multiply parentheses ..
(+18x^2-63x-16x+56)=0
We get rid of parentheses
18x^2-63x-16x+56=0
We add all the numbers together, and all the variables
18x^2-79x+56=0
a = 18; b = -79; c = +56;
Δ = b2-4ac
Δ = -792-4·18·56
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-47}{2*18}=\frac{32}{36} =8/9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+47}{2*18}=\frac{126}{36} =3+1/2 $

See similar equations:

| -10.9p+3.9=9.18 | | 65=20-(x-34) | | (-4d)-73=87 | | X+(4x+3)=28 | | 3^(x+2)=19 | | 19=12+x/5 | | -8(4+4f)=8(f+6) | | H=-5t^2+90t | | 7c-3=3+6C | | -2/34x-5=6 | | 4(7x-15)=108 | | 12w2−13w+3=0 | | (x-7)•(2x+16)=0 | | 21+u=4u | | 6u=-9 | | (x-8)^2=51.84 | | 45-2x=3x | | 2+4a+2a=2+6a | | 6(2x-8)+3=32 | | 2x(x+8)=2x-8 | | n+6n=-2n+1+8n+4 | | 36-12x=16-8x | | -8u+3(u+2)=-19 | | 6r-1=6+7r | | 6x-3+x/4=97 | | -2n-2=-4n-14 | | -4+2n=2+n | | -13-4v=-6v-5 | | 60=13c=-7c | | 2x+15+5x-2+90=180 | | 3(4y-5)=4y+3 | | 85+2y-25+2y-44=360 |

Equations solver categories