m^2-10m=21

Simple and best practice solution for m^2-10m=21 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=21 equation:


Simplifying
m2 + -10m = 21

Reorder the terms:
-10m + m2 = 21

Solving
-10m + m2 = 21

Solving for variable 'm'.

Reorder the terms:
-21 + -10m + m2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + -10m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '21' to each side of the equation.
-21 + -10m + 21 + m2 = 0 + 21

Reorder the terms:
-21 + 21 + -10m + m2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -10m + m2 = 0 + 21
-10m + m2 = 0 + 21

Combine like terms: 0 + 21 = 21
-10m + m2 = 21

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 = 21 + 25

Reorder the terms:
25 + -10m + m2 = 21 + 25

Combine like terms: 21 + 25 = 46
25 + -10m + m2 = 46

Factor a perfect square on the left side:
(m + -5)(m + -5) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(m + -5) equal to 6.782329983 and -6.782329983.

Subproblem 1

m + -5 = 6.782329983 Simplifying m + -5 = 6.782329983 Reorder the terms: -5 + m = 6.782329983 Solving -5 + m = 6.782329983 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 = 6.782329983 + 5 Combine like terms: -5 + 5 = 0 0 + m = 6.782329983 + 5 m = 6.782329983 + 5 Combine like terms: 6.782329983 + 5 = 11.782329983 m = 11.782329983 Simplifying m = 11.782329983

Subproblem 2

m + -5 = -6.782329983 Simplifying m + -5 = -6.782329983 Reorder the terms: -5 + m = -6.782329983 Solving -5 + m = -6.782329983 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 = -6.782329983 + 5 Combine like terms: -5 + 5 = 0 0 + m = -6.782329983 + 5 m = -6.782329983 + 5 Combine like terms: -6.782329983 + 5 = -1.782329983 m = -1.782329983 Simplifying m = -1.782329983

Solution

The solution to the problem is based on the solutions from the subproblems. m = {11.782329983, -1.782329983}

See similar equations:

| v+(v-29.8)+(v+27.7)=204.3 | | (2-3i)/(2+i) | | -44/76y | | 6x+7=3x-20 | | 2x^2+42=20x | | 150=-16t^2+140t+3 | | v+(v-31.1)+(v+26.7)=187.3 | | 6(x-5)=84/14 | | p(x)=60x-.2x^2 | | 0=6x^2-20x-12 | | -54/117 | | 5(x-3)=120/12 | | 6r^2+18r=-12 | | 5(y-b)+3b-6y+4(6+b)= | | sin(4x)=-2sin(2x) | | 6x^2=-36x-30 | | W/0.3=-1.49 | | (x-3)*37= | | 8x=72+4x | | (x-3)*34= | | v^2=-5v | | 24/8=6x+2(-5x) | | -7n^2=-488 | | 2b^2=-26b-80 | | v+v-31.1+v+26.7=197.3 | | 4v^2+4v=224 | | v+(v-31.1)+(v+26.7)=197.3 | | v+(v-31.1)+(v+26.7)=1997.3 | | X^2+12x-100=0 | | 4x^2+140=-48x | | 2/5h-2/1/5+3 | | 30.10-n*11.50=7.10 |

Equations solver categories