3m(m+3)=102

Simple and best practice solution for 3m(m+3)=102 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 3m(m+3)=102 equation:



3m(m+3)=102
We move all terms to the left:
3m(m+3)-(102)=0
We multiply parentheses
3m^2+9m-102=0
a = 3; b = 9; c = -102;
Δ = b2-4ac
Δ = 92-4·3·(-102)
Δ = 1305
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1305}=\sqrt{9*145}=\sqrt{9}*\sqrt{145}=3\sqrt{145}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-3\sqrt{145}}{2*3}=\frac{-9-3\sqrt{145}}{6} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+3\sqrt{145}}{2*3}=\frac{-9+3\sqrt{145}}{6} $

See similar equations:

| 0.006(50-x)=0.272-0.004 | | 7.6x-2.3x=106 | | 3n-3n+n=4 | | 2/7=6/a | | 2(x-3)=-2x-6 | | 7.x6-2.3=106 | | (3x-8)/2=x-6 | | 0.004x+0.006(50-x)=0.004x | | 7.x6-2.3x=106 | | 3n–3n+n=4 | | 0=5+y-3(5) | | Q5-(10-3q)5=-15 | | 3+x/5=-12 | | 1=x-1/1-x | | 16x+-18x=2 | | 3(4-x)=96 | | -144=3+21v | | x+(2/3)x=25 | | 3(x+6)-7=(5x+1)-4 | | 2x(x-0,5)=3 | | x+2/3x=25 | | 4(-1+2)p=3(3p-4) | | 3*(x+6)-7=5*x+1-4; | | 0.006(50-x)=0.272-0.004x | | -85=-5+8p-16 | | 5x+9x-2=11x | | X^2+x=310 | | 5/4x=4/3 | | 5/4*x=70 | | 20–5r=20–5r | | 14x+2x^2+30=6 | | 7x-(15x+4)=12+2(11-3x) |

Equations solver categories