3(x+8)(x-2)=0

Simple and best practice solution for 3(x+8)(x-2)=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 3(x+8)(x-2)=0 equation:



3(x+8)(x-2)=0
We multiply parentheses ..
3(+x^2-2x+8x-16)=0
We multiply parentheses
3x^2-6x+24x-48=0
We add all the numbers together, and all the variables
3x^2+18x-48=0
a = 3; b = 18; c = -48;
Δ = b2-4ac
Δ = 182-4·3·(-48)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-30}{2*3}=\frac{-48}{6} =-8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+30}{2*3}=\frac{12}{6} =2 $

See similar equations:

| 6(w-7)-1=-4(-7w+7)-4w | | (m-3)(m-4)=0 | | 3n=4=8 | | 50+50-25x4+2+2=0 | | 4(x-5)=12x+16 | | -4(3v-3)+8v=4+2(2v-1) | | (3x+4)+(10x-19)=180 | | Y+x=139 | | 6(v+3)=-2(7v-3)+2v | | (2−4d)=0 | | 8(2x+11)=56 | | 100+5x=106+3x | | 100+5x=47+6x | | (x-3)^2-5=20 | | 5x-4(6x-9)=2(x-3) | | 2/5*m=17/4 | | 2(12=x)=2x+24 | | 2(12=x)=2x | | 63÷o=7 | | /24+3x=3x+3(7-1) | | 3-x+8-2=30 | | 10+3(2x-4)=4x-10 | | 5.2(x-3.75)=-15.6 | | 2.7=y-9.4 | | (5y+4)(2y-3)=0 | | 5.2(x-3.75)=15.6 | | m/6-3=-11 | | 2(3.6y+0.7)+2y=38.4 | | 70-3w=10 | | Y*3x=48 | | 46+4x+16=90 | | 0.5(x-4)=0.3+2 |

Equations solver categories