(7x-15)(5x-19)=0

Simple and best practice solution for (7x-15)(5x-19)=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 (7x-15)(5x-19)=0 equation:



(7x-15)(5x-19)=0
We multiply parentheses ..
(+35x^2-133x-75x+285)=0
We get rid of parentheses
35x^2-133x-75x+285=0
We add all the numbers together, and all the variables
35x^2-208x+285=0
a = 35; b = -208; c = +285;
Δ = b2-4ac
Δ = -2082-4·35·285
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-208)-58}{2*35}=\frac{150}{70} =2+1/7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-208)+58}{2*35}=\frac{266}{70} =3+4/5 $

See similar equations:

| 2(4x+4)=12 | | m-16=-1 | | 2r+7=5+67 | | (2)/(3)x+(14)/(3)=-(1)/(2)x+(7)/(2) | | 21/56=x/8 | | 3(2-w)-5w=-50 | | –4=v+15 | | -3(8-15n)=(-9n+3) | | 20=8+4v | | -6(2+y)=-36 | | 4-4x^2=-140 | | -4x1=5-4x | | 2x+5+4=-59 | | 7/3*f=35/6 | | (u+5)/3=2 | | (0.26*x)+x=2624 | | 50+20x=350 | | 3=p+16 | | -5=7(x-1) | | -17+4(2a+2)=15 | | 2(4.5)+y=12 | | x-x+2/9=3 | | 4(10.25+0.75y)-3y=41 | | -10m=160 | | |3y+14|=-6y | | 21/3*f=5/56 | | 2x5=4x+9 | | 5x+4x+9=108 | | 4(x+1)/2=x-2 | | 2=3u+5 | | 0.65/x=5/4 | | 4x–2(3–2x)=-46 |

Equations solver categories