m^2-5m-2=0

Simple and best practice solution for m^2-5m-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 m^2-5m-2=0 equation: 


Simplifying
m2 + -5m + -2 = 0

Reorder the terms:
-2 + -5m + m2 = 0

Solving
-2 + -5m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -5m + 2 + m2 = 0 + 2

Reorder the terms:
-2 + 2 + -5m + m2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5m + m2 = 0 + 2
-5m + m2 = 0 + 2

Combine like terms: 0 + 2 = 2
-5m + m2 = 2

The m term is -5m.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5m + 6.25 + m2 = 2 + 6.25

Reorder the terms:
6.25 + -5m + m2 = 2 + 6.25

Combine like terms: 2 + 6.25 = 8.25
6.25 + -5m + m2 = 8.25

Factor a perfect square on the left side:
(m + -2.5)(m + -2.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(m + -2.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
m + -2.5 = 2.872281323

Simplifying
m + -2.5 = 2.872281323

Reorder the terms:
-2.5 + m = 2.872281323

Solving
-2.5 + m = 2.872281323

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + m = 2.872281323 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + m = 2.872281323 + 2.5
m = 2.872281323 + 2.5

Combine like terms: 2.872281323 + 2.5 = 5.372281323
m = 5.372281323

Simplifying
m = 5.372281323


Subproblem 2
m + -2.5 = -2.872281323

Simplifying
m + -2.5 = -2.872281323

Reorder the terms:
-2.5 + m = -2.872281323

Solving
-2.5 + m = -2.872281323

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + m = -2.872281323 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + m = -2.872281323 + 2.5
m = -2.872281323 + 2.5

Combine like terms: -2.872281323 + 2.5 = -0.372281323
m = -0.372281323

Simplifying
m = -0.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {5.372281323, -0.372281323}

See similar equations:

| 10-6m=m+3 | | 2x+5(4x-17)=25 | | R-1.25+0.5r=3.25 | | 8x+1=8(x+4) | | -70=-10+5v | | 8m^2+4=0 | | 3(x-9)-x+30=2x+3 | | 0.6=0.4+x-(0.4*x) | | 9x^2+x= | | 2.3a=1 | | M-4=2xm | | 4x+3(7x-3)=116 | | -4(2-3)+=-20 | | 12w=16w+32 | | x=-4/x+0,5 | | -4y+20=-8 | | 5y+8=5x-2 | | 3x-0=15 | | x+2x-7=x+7 | | 5x+8=5y-2 | | -8=-(x+4)-5x | | 5x+18=57+3x | | 3-x-4x=-37 | | 5x+8=5p-2 | | 7+2t-1=30 | | 3(9-5)-2(9+5)= | | 5x+8=1p-2 | | 2.25(4x-4)=-2+2+10x+12 | | 8m^3-12m^2-50m+75=0 | | 5p-2=8+5x | | 5y-2=8+5p | | 5x-3x-32=12 |

Equations solver categories