m^2-5m-12=0

Simple and best practice solution for m^2-5m-12=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-12=0 equation: 


Simplifying
m2 + -5m + -12 = 0

Reorder the terms:
-12 + -5m + m2 = 0

Solving
-12 + -5m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -5m + 12 + m2 = 0 + 12

Reorder the terms:
-12 + 12 + -5m + m2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5m + m2 = 0 + 12
-5m + m2 = 0 + 12

Combine like terms: 0 + 12 = 12
-5m + m2 = 12

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 = 12 + 6.25

Reorder the terms:
6.25 + -5m + m2 = 12 + 6.25

Combine like terms: 12 + 6.25 = 18.25
6.25 + -5m + m2 = 18.25

Factor a perfect square on the left side:
(m + -2.5)(m + -2.5) = 18.25

Calculate the square root of the right side: 4.272001873

Break this problem into two subproblems by setting 
(m + -2.5) equal to 4.272001873 and -4.272001873.


Subproblem 1
m + -2.5 = 4.272001873

Simplifying
m + -2.5 = 4.272001873

Reorder the terms:
-2.5 + m = 4.272001873

Solving
-2.5 + m = 4.272001873

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 = 4.272001873 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + m = 4.272001873 + 2.5
m = 4.272001873 + 2.5

Combine like terms: 4.272001873 + 2.5 = 6.772001873
m = 6.772001873

Simplifying
m = 6.772001873


Subproblem 2
m + -2.5 = -4.272001873

Simplifying
m + -2.5 = -4.272001873

Reorder the terms:
-2.5 + m = -4.272001873

Solving
-2.5 + m = -4.272001873

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 = -4.272001873 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + m = -4.272001873 + 2.5
m = -4.272001873 + 2.5

Combine like terms: -4.272001873 + 2.5 = -1.772001873
m = -1.772001873

Simplifying
m = -1.772001873


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {6.772001873, -1.772001873}

See similar equations:

| 2w^2+5w=88 | | -m^2+5m-12=0 | | m^3-2m^2-6m=16 | | 9+7z-2=7z+13-3z | | w^2-w+12=0 | | 2(w+36)+10=32 | | 6x-29=2x+51 | | 0.5(b-2)=5 | | x^2=288 | | 3h^2+17+10=0 | | x^2=864 | | 9x^3-36x^2=0 | | -19-8x=38-11x | | 30l+240=506-160 | | 2x^2+10x-208=0 | | 6x^2-21x-9=0 | | 16x^3+52x^2-48x=0 | | 14x^2+12x=2 | | -74+12x=7x+71 | | 16-39=39+40 | | 16+4y=32 | | r-(-4)=10 | | 4x/9=7/8 | | 1.3q-1.8-4.7q=-4.4q-3.7 | | 111-t/2=t/3-14 | | 10x-64=80+x | | 5y^2=-13y+6 | | 2x^2+10x-218=0 | | 60-3u=75 | | P(2)=10(2)-7 | | y+6x=4 | | P(90846106)=10(90846106)-7 |

Equations solver categories