(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+58x-285=0
a = 35; b = 58; c = -285;
Δ = b2-4ac
Δ = 582-4·35·(-285)
Δ = 43264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43264}=208$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-208}{2*35}=\frac{-266}{70} =-3+4/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+208}{2*35}=\frac{150}{70} =2+1/7 $

See similar equations:

| 13-5x+3x-70=-23 | | 7(10-3n)=5(15-4n) | | 7.23.8=p/3-7.2 | | e3.8=-7.2 | | 1/3x+15=-8 | | x^2+8x-50=-2 | | 3.6(9.8r-67)=9.8 | | 4{2x-4}=24 | | 1/4(-32w-8)=-8w-2 | | 3(5k-4)=8k+2 | | .h/3=7 | | w/5-12=29 | | 29=x-(-19) | | 16=5x+2(-1x-4) | | a/3+23=36 | | 32=u/4+12 | | 3m+5m=30+3m+5 | | 3x+2(1.5)=5x-3 | | (3x-5)/2=(2x-6) | | (7x-15)(5x-19)=0 | | 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 |

Equations solver categories