(m+3)-(m-6)m+2=m+2

Simple and best practice solution for (m+3)-(m-6)m+2=m+2 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 (m+3)-(m-6)m+2=m+2 equation:



(m+3)-(m-6)m+2=m+2
We move all terms to the left:
(m+3)-(m-6)m+2-(m+2)=0
We multiply parentheses
-m^2+(m+3)+6m-(m+2)+2=0
We get rid of parentheses
-m^2+m+6m-m+3-2+2=0
We add all the numbers together, and all the variables
-1m^2+6m+3=0
a = -1; b = 6; c = +3;
Δ = b2-4ac
Δ = 62-4·(-1)·3
Δ = 48
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:
$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-4\sqrt{3}}{2*-1}=\frac{-6-4\sqrt{3}}{-2} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+4\sqrt{3}}{2*-1}=\frac{-6+4\sqrt{3}}{-2} $

See similar equations:

| 224=x2+10x+24 | | 5−2(x−3)=15 | | (x+1)/(2)=(21)/(14) | | X+x-3+(x-3)+17=77 | | (m-1)^2=78 | | (m−1)^2=78 | | 5(2y+2)-6(5y-15=20 | | 5(2y+2)-6(5y-15=20y | | 5(2y+2)-6(5y-15=20y= | | 2(4m+6=4(5m-6)m= | | 2(4m+6=4(5m-6)m | | 26*5=x | | 600x-0.42=400x+0.66 | | x^2+0.1212x-0.0018=0 | | A6=4a(5) | | 4(y-1)+6y=36 | | -7(-4x+4)=-7x+7 | | 1x+10x=40 | | Y=7/8x+2.Y=-7/8x | | (4x^2)+0.245x-0.007=0 | | 4x+2x-3x=36 | | (x+3x+4x)+(18+12+10)=360 | | 3x+1+2x-1=100 | | x/5+1/5(x-x/5)=36 | | Y=9.5x+30 | | m^2-23m-24=0 | | 1.8x0.4=7.2 | | 4(x-7)+5(x-8)=6(x-9) | | 7b+2=28 | | 3x+10°+4x-10°=180° | | 3y-27=180 | | 0.05x+0.05x=0 |

Equations solver categories