m^2-10m=25

Simple and best practice solution for m^2-10m=25 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^2-10m=25 equation: 


Simplifying
m2 + -10m = 25

Reorder the terms:
-10m + m2 = 25

Solving
-10m + m2 = 25

Solving for variable 'm'.

Reorder the terms:
-25 + -10m + m2 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + -10m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + -10m + 25 + m2 = 0 + 25

Reorder the terms:
-25 + 25 + -10m + m2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -10m + m2 = 0 + 25
-10m + m2 = 0 + 25

Combine like terms: 0 + 25 = 25
-10m + m2 = 25

The m term is -10m.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10m + 25 + m2 = 25 + 25

Reorder the terms:
25 + -10m + m2 = 25 + 25

Combine like terms: 25 + 25 = 50
25 + -10m + m2 = 50

Factor a perfect square on the left side:
(m + -5)(m + -5) = 50

Calculate the square root of the right side: 7.071067812

Break this problem into two subproblems by setting 
(m + -5) equal to 7.071067812 and -7.071067812.


Subproblem 1
m + -5 = 7.071067812

Simplifying
m + -5 = 7.071067812

Reorder the terms:
-5 + m = 7.071067812

Solving
-5 + m = 7.071067812

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 5 + m = 7.071067812 + 5

Combine like terms: -5 + 5 = 0
0 + m = 7.071067812 + 5
m = 7.071067812 + 5

Combine like terms: 7.071067812 + 5 = 12.071067812
m = 12.071067812

Simplifying
m = 12.071067812


Subproblem 2
m + -5 = -7.071067812

Simplifying
m + -5 = -7.071067812

Reorder the terms:
-5 + m = -7.071067812

Solving
-5 + m = -7.071067812

Solving for variable 'm'.

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

Add '5' to each side of the equation.
-5 + 5 + m = -7.071067812 + 5

Combine like terms: -5 + 5 = 0
0 + m = -7.071067812 + 5
m = -7.071067812 + 5

Combine like terms: -7.071067812 + 5 = -2.071067812
m = -2.071067812

Simplifying
m = -2.071067812


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {12.071067812, -2.071067812}

See similar equations:

| 15n-8=7n+5+8n | | -8+q=3 | | 4-2(a+5)=-6 | | -37+15x=123 | | 5x-3(2x-4)=10-x | | 3+4(x+10)=53 | | X^9=158 | | 43a+10-27a=27 | | (x+15)=4x | | y-9=-2(x+7) | | -15=p+p | | -6(-5+4x)=6 | | -5x-20=-100 | | m^2=10m+25 | | 31-3m=7(1-m) | | x+y-2=0 | | -7y+5=54 | | (3x-4)=(x+2) | | -58=8+6x | | 11+12+12+13+14+16+18+19+20=135 | | 30y^2-10y=0 | | 5c-6=29 | | 45*6+56.6=34 | | 7(-3x-10)=-70 | | -6+2x=-7+2x+1 | | 4w-2(3w-8)+4=-40 | | -4(t-3)+9t=3t-6 | | x=7mx-3b | | -5+x=-6 | | -3(-6-6x)=90 | | 4-2w=10 | | 4(-3x-3)=-36 |

Equations solver categories