m^2-8m+10=0

Simple and best practice solution for m^2-8m+10=0 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^2-8m+10=0 equation: 


Simplifying
m2 + -8m + 10 = 0

Reorder the terms:
10 + -8m + m2 = 0

Solving
10 + -8m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -8m + -10 + m2 = 0 + -10

Reorder the terms:
10 + -10 + -8m + m2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -8m + m2 = 0 + -10
-8m + m2 = 0 + -10

Combine like terms: 0 + -10 = -10
-8m + m2 = -10

The m term is -8m.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8m + 16 + m2 = -10 + 16

Reorder the terms:
16 + -8m + m2 = -10 + 16

Combine like terms: -10 + 16 = 6
16 + -8m + m2 = 6

Factor a perfect square on the left side:
(m + -4)(m + -4) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(m + -4) equal to 2.449489743 and -2.449489743.


Subproblem 1
m + -4 = 2.449489743

Simplifying
m + -4 = 2.449489743

Reorder the terms:
-4 + m = 2.449489743

Solving
-4 + m = 2.449489743

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + 4 + m = 2.449489743 + 4

Combine like terms: -4 + 4 = 0
0 + m = 2.449489743 + 4
m = 2.449489743 + 4

Combine like terms: 2.449489743 + 4 = 6.449489743
m = 6.449489743

Simplifying
m = 6.449489743


Subproblem 2
m + -4 = -2.449489743

Simplifying
m + -4 = -2.449489743

Reorder the terms:
-4 + m = -2.449489743

Solving
-4 + m = -2.449489743

Solving for variable 'm'.

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

Add '4' to each side of the equation.
-4 + 4 + m = -2.449489743 + 4

Combine like terms: -4 + 4 = 0
0 + m = -2.449489743 + 4
m = -2.449489743 + 4

Combine like terms: -2.449489743 + 4 = 1.550510257
m = 1.550510257

Simplifying
m = 1.550510257


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {6.449489743, 1.550510257}

See similar equations:

| 8x^2-8x-16=x | | -1(x-6)(x+8)=x | | -5(x+3)(x+8)=x | | (Y^3-6y^2+9y)=0 | | (4y^2-18y+18)=0 | | -6-3x=2 | | 0+5000+x=1.3x | | (x+3)(x^2+4x-2)= | | 30000+x=2.45x | | 15000+x=2.45x | | 3x+4-2x-1=18 | | 15*x=200 | | (27/64)(p^6/q^-2)^-1/3 | | 15000+x=1.58x | | Y=(32m^2-4m-6) | | (x-5)(x^2+4x+2)= | | Y=(-8m^2+8m-2) | | Y=-8m^2+8m-2 | | Y=(-8m^2+8-2) | | 3x/2=7 | | 13/14-5 | | 3(a+1)+2(2a-3)=5(a-1)+8 | | 18-t/20=^9 | | 8y-9-3y+7=0 | | 0+500+x=1.3x | | 10x+9=10x-5 | | .5x+10(34-x)=2.5 | | 9-3n+10n= | | P=-11+8W+2W^2 | | 4ln(2x-1)=10 | | P=2W(4+W)-11 | | 1000+x=1.4x |

Equations solver categories