2m^2-12m=2m-24

Simple and best practice solution for 2m^2-12m=2m-24 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^2-12m=2m-24 equation:


Simplifying
2m2 + -12m = 2m + -24

Reorder the terms:
-12m + 2m2 = 2m + -24

Reorder the terms:
-12m + 2m2 = -24 + 2m

Solving
-12m + 2m2 = -24 + 2m

Solving for variable 'm'.

Reorder the terms:
24 + -12m + -2m + 2m2 = -24 + 2m + 24 + -2m

Combine like terms: -12m + -2m = -14m
24 + -14m + 2m2 = -24 + 2m + 24 + -2m

Reorder the terms:
24 + -14m + 2m2 = -24 + 24 + 2m + -2m

Combine like terms: -24 + 24 = 0
24 + -14m + 2m2 = 0 + 2m + -2m
24 + -14m + 2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
24 + -14m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -7m + m2) = 0

Factor a trinomial.
2((3 + -1m)(4 + -1m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3

Subproblem 2

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {3, 4}

See similar equations:

| x^3-13x^2+36x=0 | | x+6=2x-8 | | 3x-5=x+3 | | 5m(5m+4)=-4 | | 2x^2-9x=26 | | 2x+6=19-3 | | 4x^2-21x=-5 | | 8x^2=-9x | | p^2=22p | | 2(2x+3)=4x-6 | | 5x+2=x+17 | | 10y-2=7+3y | | 8.4+x=-3.9 | | x-(-9)=-9 | | 49y^2-1=0 | | 32xl=288 | | -12=12+x | | t^2-25=0 | | 93xl=288 | | 15-(-x)=23 | | a^2-16a+55=0 | | 10x^3+5x^2-30x= | | 9x-4x+6=21 | | 5(x+3)-3=3x | | 5(x+3)-3=9 | | (x+4)(x+5)(x-8)=0 | | 64+x=70 | | x+17=50 | | (x-1)(x+6)(x-9)=0 | | 42+x=55 | | n(n+1)(n-2)=0 | | 18+x=31 |

Equations solver categories