m(m-2)=12

Simple and best practice solution for m(m-2)=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 m(m-2)=12 equation:


Simplifying
m(m + -2) = 12

Reorder the terms:
m(-2 + m) = 12
(-2 * m + m * m) = 12
(-2m + m2) = 12

Solving
-2m + m2 = 12

Solving for variable 'm'.

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

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

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -2m + 12 + m2 = 0 + 12

Reorder the terms:
-12 + 12 + -2m + m2 = 0 + 12

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

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

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = 12 + 1

Reorder the terms:
1 + -2m + m2 = 12 + 1

Combine like terms: 12 + 1 = 13
1 + -2m + m2 = 13

Factor a perfect square on the left side:
(m + -1)(m + -1) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(m + -1) equal to 3.605551275 and -3.605551275.

Subproblem 1

m + -1 = 3.605551275 Simplifying m + -1 = 3.605551275 Reorder the terms: -1 + m = 3.605551275 Solving -1 + m = 3.605551275 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + m = 3.605551275 + 1 Combine like terms: -1 + 1 = 0 0 + m = 3.605551275 + 1 m = 3.605551275 + 1 Combine like terms: 3.605551275 + 1 = 4.605551275 m = 4.605551275 Simplifying m = 4.605551275

Subproblem 2

m + -1 = -3.605551275 Simplifying m + -1 = -3.605551275 Reorder the terms: -1 + m = -3.605551275 Solving -1 + m = -3.605551275 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + m = -3.605551275 + 1 Combine like terms: -1 + 1 = 0 0 + m = -3.605551275 + 1 m = -3.605551275 + 1 Combine like terms: -3.605551275 + 1 = -2.605551275 m = -2.605551275 Simplifying m = -2.605551275

Solution

The solution to the problem is based on the solutions from the subproblems. m = {4.605551275, -2.605551275}

See similar equations:

| 6.5x=286 | | 3.5x=140 | | y=5(4)+2(4-3(4)) | | 1.75x+50=2.5x+39.99 | | 2.5x+39.99=100 | | 2.4x=108 | | x=5x+2(4-3x) | | -13x-11y=-12 | | 400+2x=0 | | y=5x+2(4-3x) | | 1/5=2x+3 | | 4200=6550-c | | x^2/-2x+2=7.7 | | 3-5x=6x | | 2+x+8x+5= | | 6a+9=-4a+9 | | -2x-12=15+(-7) | | x+3/10-8/5+x-9/7 | | 185+35x=0 | | 4x/7=x/5+13 | | x^2-27x=0whatisx | | Y=-3/5x-2 | | 3ax=0.2 | | 0=-25x^2+300x | | 2(x)+(8x+5)= | | 10=3(x-2)-(x-8) | | 7.1x-5+x-1.3= | | 2(x+8)=4x+2-2x+14 | | 2.2a=-17.6 | | 2(16)+2(22)= | | 6x-3=4+5x | | 3(x+2)=8x+2-5x+4 |

Equations solver categories