3m^2+12m-12=0

Simple and best practice solution for 3m^2+12m-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 3m^2+12m-12=0 equation: 


Simplifying
3m2 + 12m + -12 = 0

Reorder the terms:
-12 + 12m + 3m2 = 0

Solving
-12 + 12m + 3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 4m + m2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + 4m + m2)' equal to zero and attempt to solve:

Simplifying
-4 + 4m + m2 = 0

Solving
-4 + 4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 4m + 4 + m2 = 0 + 4

Reorder the terms:
-4 + 4 + 4m + m2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4m + m2 = 0 + 4
4m + m2 = 0 + 4

Combine like terms: 0 + 4 = 4
4m + m2 = 4

The m term is 4m.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4m + 4 + m2 = 4 + 4

Reorder the terms:
4 + 4m + m2 = 4 + 4

Combine like terms: 4 + 4 = 8
4 + 4m + m2 = 8

Factor a perfect square on the left side:
(m + 2)(m + 2) = 8

Calculate the square root of the right side: 2.828427125

Break this problem into two subproblems by setting 
(m + 2) equal to 2.828427125 and -2.828427125.


Subproblem 1
m + 2 = 2.828427125

Simplifying
m + 2 = 2.828427125

Reorder the terms:
2 + m = 2.828427125

Solving
2 + m = 2.828427125

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + -2 + m = 2.828427125 + -2

Combine like terms: 2 + -2 = 0
0 + m = 2.828427125 + -2
m = 2.828427125 + -2

Combine like terms: 2.828427125 + -2 = 0.828427125
m = 0.828427125

Simplifying
m = 0.828427125


Subproblem 2
m + 2 = -2.828427125

Simplifying
m + 2 = -2.828427125

Reorder the terms:
2 + m = -2.828427125

Solving
2 + m = -2.828427125

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + -2 + m = -2.828427125 + -2

Combine like terms: 2 + -2 = 0
0 + m = -2.828427125 + -2
m = -2.828427125 + -2

Combine like terms: -2.828427125 + -2 = -4.828427125
m = -4.828427125

Simplifying
m = -4.828427125


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.828427125, -4.828427125}
Solution
m = {0.828427125, -4.828427125}

See similar equations:

| X-3y-27=0 | | 9/12=x/1000 | | 3119+(.44*1361)+597-406= | | 4x^4-29x+5=0 | | (1/(x-4))-(25/(x^2)) | | 5x-2y-9=0 | | 4x^2+4y^2-20x+4y-55=0 | | 4x^2+4y^2-20+4y-55=0 | | 2x+7=2x-1 | | -x(2x+1)=-2x^2+7 | | x/2-x/3=7/6 | | 15x/999*12x*98=12 | | 3x-1/2=3/7-4x | | 9(23x/34)*34(21x/12)=134 | | 8(2x-5)-6(3x-7)=1 | | x+(x-125)=3(x-125)-500 | | X^2-16x/63= | | -x+3y+(k-3)z=0 | | 6s^2-6t^2= | | (3y+5)-(y+2)= | | 4(4y-5)-(4y+4)= | | 2p=1582-3q | | x/(x^2) | | 32c^2+56c= | | (12t+5)+(3t-7)= | | w^2+8w+6zw+48z= | | 4x-11=7-8x | | 5p^2-24p-5= | | x^2-440=0 | | 9p^2-4= | | 3/4h=12 | | 15p^2-7p-2= |

Equations solver categories