(5r-3)(r-8)=0

Simple and best practice solution for (5r-3)(r-8)=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 (5r-3)(r-8)=0 equation:



(5r-3)(r-8)=0
We multiply parentheses ..
(+5r^2-40r-3r+24)=0
We get rid of parentheses
5r^2-40r-3r+24=0
We add all the numbers together, and all the variables
5r^2-43r+24=0
a = 5; b = -43; c = +24;
Δ = b2-4ac
Δ = -432-4·5·24
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-37}{2*5}=\frac{6}{10} =3/5 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+37}{2*5}=\frac{80}{10} =8 $

You can always share this solution

See similar equations:

| 7/2y-5=11 | | 2.5x+x=5x-6 | | 3x^2-6x+3=0 | | 2x+2+12-x=4x | | 11w-w-3w-2w=5 | | 7x+4=(x+3)+(8x-9) | | 6(x+8)-2(-15+4)=31 | | 7a/3+4=18 | | 5x+2=27+(3x-1) | | 5m+7=34 | | 2x+72=98 | | 12x+2(x+8)+6=8-(-4x+6) | | 4x-60=40 | | 86+6x-60+2x=50 | | X=0,y=2 | | 4x-16+14+6=62 | | 2x+3=24-x | | y²-y-6=0 | | 2x-3+2x-3=5x-12 | | 75=3(f-60) | | -9x=1-4-9 | | 5x=x+5/3x+7 | | 70=7(p+5) | | 21+7j=56 | | -10x+3=7x-3 | | (1/2)x+7=14 | | -8x-8x=1-4x-8x+7 | | 5x^-2x+5=0 | | 230g+57=3277 | | 42/m-5=1 | | 100÷30x=15x |

Equations solver categories