2m^2-6m-12=12

Simple and best practice solution for 2m^2-6m-12=12 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^2-6m-12=12 equation: 


Simplifying
2m2 + -6m + -12 = 12

Reorder the terms:
-12 + -6m + 2m2 = 12

Solving
-12 + -6m + 2m2 = 12

Solving for variable 'm'.

Reorder the terms:
-12 + -12 + -6m + 2m2 = 12 + -12

Combine like terms: -12 + -12 = -24
-24 + -6m + 2m2 = 12 + -12

Combine like terms: 12 + -12 = 0
-24 + -6m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + -3m + m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -3m + m2)' equal to zero and attempt to solve:

Simplifying
-12 + -3m + m2 = 0

Solving
-12 + -3m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -3m + 12 + m2 = 0 + 12

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

Combine like terms: -12 + 12 = 0
0 + -3m + m2 = 0 + 12
-3m + m2 = 0 + 12

Combine like terms: 0 + 12 = 12
-3m + m2 = 12

The m term is -3m.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3m + 2.25 + m2 = 12 + 2.25

Reorder the terms:
2.25 + -3m + m2 = 12 + 2.25

Combine like terms: 12 + 2.25 = 14.25
2.25 + -3m + m2 = 14.25

Factor a perfect square on the left side:
(m + -1.5)(m + -1.5) = 14.25

Calculate the square root of the right side: 3.774917218

Break this problem into two subproblems by setting 
(m + -1.5) equal to 3.774917218 and -3.774917218.


Subproblem 1
m + -1.5 = 3.774917218

Simplifying
m + -1.5 = 3.774917218

Reorder the terms:
-1.5 + m = 3.774917218

Solving
-1.5 + m = 3.774917218

Solving for variable 'm'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + m = 3.774917218 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + m = 3.774917218 + 1.5
m = 3.774917218 + 1.5

Combine like terms: 3.774917218 + 1.5 = 5.274917218
m = 5.274917218

Simplifying
m = 5.274917218


Subproblem 2
m + -1.5 = -3.774917218

Simplifying
m + -1.5 = -3.774917218

Reorder the terms:
-1.5 + m = -3.774917218

Solving
-1.5 + m = -3.774917218

Solving for variable 'm'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + m = -3.774917218 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + m = -3.774917218 + 1.5
m = -3.774917218 + 1.5

Combine like terms: -3.774917218 + 1.5 = -2.274917218
m = -2.274917218

Simplifying
m = -2.274917218


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {5.274917218, -2.274917218}
Solution
m = {5.274917218, -2.274917218}

See similar equations:

| 2x+6/5=2y | | 7y=3-4y | | a(-3)=8 | | -11y+32=98-5y | | 3(4x-3)=99 | | 10y=60 | | 8y=3u+35 | | 3x^2-7x-12=0 | | 3v+(-5.9)-(-5.9)=196.0-(-5.9) | | 3+6f-5=6f-2 | | 141-4x=41x+16 | | 6h-5=19 | | U=380x+x^2+160 | | v+v-32.3+v+26.4=196.0 | | 2.4+3=-0.6 | | 1200/4 | | 3(2x+5)=8x+18-3X+3 | | 6k-(2k-8)= | | v+v-31.5+v+27.4=201.4 | | 12000/4 | | 9x-(7x-2y)= | | 4(x+3)=7x+6 | | 7+3lnx=24 | | 3(3-y)+6y=4y | | 4/1=x/2 | | V+(v-32.3)+(v+26.4)=196.0 | | f(x)=-x^2+7x-3 | | 30g=5(5g+6) | | 0.08+0.24(2m-3)+1=0.6(8+m) | | u(u^2-13u^2+36)=0 | | 7p-(2p+3q)= | | (6+v)(3v-8)=0 |

Equations solver categories