(2m+2)2-(2m+5)=4m(m+4)+4

Simple and best practice solution for (2m+2)2-(2m+5)=4m(m+4)+4 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 (2m+2)2-(2m+5)=4m(m+4)+4 equation:



(2m+2)2-(2m+5)=4m(m+4)+4
We move all terms to the left:
(2m+2)2-(2m+5)-(4m(m+4)+4)=0
We multiply parentheses
4m-(2m+5)-(4m(m+4)+4)+4=0
We get rid of parentheses
4m-2m-(4m(m+4)+4)-5+4=0
We calculate terms in parentheses: -(4m(m+4)+4), so:
4m(m+4)+4
We multiply parentheses
4m^2+16m+4
Back to the equation:
-(4m^2+16m+4)
We add all the numbers together, and all the variables
2m-(4m^2+16m+4)-1=0
We get rid of parentheses
-4m^2+2m-16m-4-1=0
We add all the numbers together, and all the variables
-4m^2-14m-5=0
a = -4; b = -14; c = -5;
Δ = b2-4ac
Δ = -142-4·(-4)·(-5)
Δ = 116
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:
$\sqrt{\Delta}=\sqrt{116}=\sqrt{4*29}=\sqrt{4}*\sqrt{29}=2\sqrt{29}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{29}}{2*-4}=\frac{14-2\sqrt{29}}{-8} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{29}}{2*-4}=\frac{14+2\sqrt{29}}{-8} $

See similar equations:

| 18x+6=70 | | 2(5x+3)=70 | | 3(w+9)=6w-5(2w-3) | | 3(w+9)=6w-5(2w-3 | | 3g-14g+10=-16-7+22g | | 3x-24=x+9 | | 1/3x=x-40 | | 3(2x+1)=3(x-1)+14 | | 12÷m=40 | | -2.6x=33.28 | | -r=25 | | 4x=2=42 | | x-0.3x=37 | | 2–⁸=–2^3n–3 | | 25-15=10x | | x-0.45x=31 | | X2+9x+20/7x+28=0 | | x2+9x+20=7x+28 | | x+0.5x=1500 | | 85x+13x=18x | | 6x=3x(3x+16) | | 1+7x-11x-1+5x=2-6 | | 15-2+4=-4+1-5x+7x-x | | 5m-4m-7=2+3 | | x+5+6=18+2 | | 4m+8m-9+2-5=4m+6 | | (Q-3)x5=45 | | Y+y*y=12 | | 11x+2+4x-3x=5x-8+6x | | 2^(x+3)+2^(x)=144 | | x+12=28-2x(x-4) | | 4x+3+2x-5x=2+8 |

Equations solver categories