(5x-12)(2x+7)=0

Simple and best practice solution for (5x-12)(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 (5x-12)(2x+7)=0 equation:



(5x-12)(2x+7)=0
We multiply parentheses ..
(+10x^2+35x-24x-84)=0
We get rid of parentheses
10x^2+35x-24x-84=0
We add all the numbers together, and all the variables
10x^2+11x-84=0
a = 10; b = 11; c = -84;
Δ = b2-4ac
Δ = 112-4·10·(-84)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-59}{2*10}=\frac{-70}{20} =-3+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+59}{2*10}=\frac{48}{20} =2+2/5 $

See similar equations:

| 3x-20=2x+12+8 | | 10r-8=2r+32 | | (7/x)-(-4-2/3)=(4x(x+2)+21/3x)-2 | | (x+2/4)=6 | | x3+11x2+35x+25=0 | | 9m+28/2=28 | | 5x6=4(x-3) | | 6x+4=10+x | | 4+3=-y-31 | | (-2/7)^x=16/2401 | | 0.33=0.66*x | | x+66=51 | | 25x^2=28 | | 4^(x+7)=5x^-3 | | v=100 | | 5(r-3)-2(r-4)=53 | | 4x+12=44.x | | c(8.r)=56 | | 16c+20=180 | | 81h=9 | | (-7x+14=4x-19) | | -205=5-14x | | 1-x/2-1=-1/4-1 | | -4-17x=455 | | 4x+12=44x= | | 348=17x-9 | | 4x+12=44.x= | | -2+15x=-32 | | 9x+1=-98 | | 66=10+4x | | 3(2+a)=21 | | 5/3(x-3/5)=-16 |

Equations solver categories