m*m+m=960

Simple and best practice solution for m*m+m=960 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+m=960 equation:


Simplifying
m * m + m = 960

Multiply m * m
m2 + m = 960

Reorder the terms:
m + m2 = 960

Solving
m + m2 = 960

Solving for variable 'm'.

Reorder the terms:
-960 + m + m2 = 960 + -960

Combine like terms: 960 + -960 = 0
-960 + m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '960' to each side of the equation.
-960 + m + 960 + m2 = 0 + 960

Reorder the terms:
-960 + 960 + m + m2 = 0 + 960

Combine like terms: -960 + 960 = 0
0 + m + m2 = 0 + 960
m + m2 = 0 + 960

Combine like terms: 0 + 960 = 960
m + m2 = 960

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
m + 0.25 + m2 = 960 + 0.25

Reorder the terms:
0.25 + m + m2 = 960 + 0.25

Combine like terms: 960 + 0.25 = 960.25
0.25 + m + m2 = 960.25

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = 960.25

Calculate the square root of the right side: 30.987900865

Break this problem into two subproblems by setting 
(m + 0.5) equal to 30.987900865 and -30.987900865.

Subproblem 1

m + 0.5 = 30.987900865 Simplifying m + 0.5 = 30.987900865 Reorder the terms: 0.5 + m = 30.987900865 Solving 0.5 + m = 30.987900865 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + m = 30.987900865 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + m = 30.987900865 + -0.5 m = 30.987900865 + -0.5 Combine like terms: 30.987900865 + -0.5 = 30.487900865 m = 30.487900865 Simplifying m = 30.487900865

Subproblem 2

m + 0.5 = -30.987900865 Simplifying m + 0.5 = -30.987900865 Reorder the terms: 0.5 + m = -30.987900865 Solving 0.5 + m = -30.987900865 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + m = -30.987900865 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + m = -30.987900865 + -0.5 m = -30.987900865 + -0.5 Combine like terms: -30.987900865 + -0.5 = -31.487900865 m = -31.487900865 Simplifying m = -31.487900865

Solution

The solution to the problem is based on the solutions from the subproblems. m = {30.487900865, -31.487900865}

See similar equations:

| 8-n=-4 | | 4x+12=2x | | 5(2y-4)+2(y+9)= | | y=2x+12+3x-24 | | 3x^2+40=-x^2-56 | | 2x+12=3x-24 | | x^2+9=4 | | x+0.9=4.7 | | 12x^4-6x^2+2=0 | | x-14=5x-34 | | y=5x-11 | | 2x^2=-5+11x | | -8+m=8 | | 7+a=16 | | 6b=15 | | x+4=3x+-2 | | 8-(x-2)=11 | | 4x-4+x+24=6x+20-4x | | 10-3x=2x-8x-44 | | 4m-7n=p | | 14x+13x= | | 15a+(11a)= | | 9m-m= | | -a+9a= | | 7x-8x= | | M+(4m)= | | 17x+x= | | 6x+3=-9 | | 10.24+x=6x | | 7m-1.2=4.7 | | -5+x=8 | | 0.125(x-2)=128(1-x) |

Equations solver categories