m(m)+6m=9

Simple and best practice solution for m(m)+6m=9 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)+6m=9 equation:


Simplifying
m(m) + 6m = 9

Multiply m * m
m2 + 6m = 9

Reorder the terms:
6m + m2 = 9

Solving
6m + m2 = 9

Solving for variable 'm'.

Reorder the terms:
-9 + 6m + m2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 6m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 6m + 9 + m2 = 0 + 9

Reorder the terms:
-9 + 9 + 6m + m2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 6m + m2 = 0 + 9
6m + m2 = 0 + 9

Combine like terms: 0 + 9 = 9
6m + m2 = 9

The m term is 6m.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6m + 9 + m2 = 9 + 9

Reorder the terms:
9 + 6m + m2 = 9 + 9

Combine like terms: 9 + 9 = 18
9 + 6m + m2 = 18

Factor a perfect square on the left side:
(m + 3)(m + 3) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(m + 3) equal to 4.242640687 and -4.242640687.

Subproblem 1

m + 3 = 4.242640687 Simplifying m + 3 = 4.242640687 Reorder the terms: 3 + m = 4.242640687 Solving 3 + m = 4.242640687 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + m = 4.242640687 + -3 m = 4.242640687 + -3 Combine like terms: 4.242640687 + -3 = 1.242640687 m = 1.242640687 Simplifying m = 1.242640687

Subproblem 2

m + 3 = -4.242640687 Simplifying m + 3 = -4.242640687 Reorder the terms: 3 + m = -4.242640687 Solving 3 + m = -4.242640687 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = -4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + m = -4.242640687 + -3 m = -4.242640687 + -3 Combine like terms: -4.242640687 + -3 = -7.242640687 m = -7.242640687 Simplifying m = -7.242640687

Solution

The solution to the problem is based on the solutions from the subproblems. m = {1.242640687, -7.242640687}

See similar equations:

| 9n-7=5n+23 | | y=(x*x)+(4*x)+5 | | 0.65Y=X+18 | | 12x+81=5 | | -(log)(x)=8.3 | | 6cosx-6=0 | | x(x)-10x=40 | | -16+x^2=0 | | 8-3r=3r+2 | | 5m^2-7m-34=0 | | 8.3=logx | | 12-2n=3n+2 | | 8x^2+1=12x | | 5x+13+151+2x-12=180 | | 42=2x-14 | | -2a-3=a-12 | | 108=.5(x+6)(x) | | 4x+6(3x+16)=190 | | 16t^2-76t+20=0 | | 2x^2+4x+x=0 | | 9(Y-4)=-10(Y+2.33) | | ln(100)=3.5ln(x) | | 5y-5+135=180 | | 144=0.8(220-a) | | 4(f+4)=20 | | 5+6x=59 | | 7+11m=7m-1 | | =1a+13x-4x-11 | | =-2p-3q-6p+5q | | 3(2x-1)=7(x+3) | | y=160000(1+15) | | x^2-2z=0 |

Equations solver categories