3m^2-24m+26=0

Simple and best practice solution for 3m^2-24m+26=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 3m^2-24m+26=0 equation: 


Simplifying
3m2 + -24m + 26 = 0

Reorder the terms:
26 + -24m + 3m2 = 0

Solving
26 + -24m + 3m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
8.666666667 + -8m + m2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -8m + -8.666666667 + m2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -8m + m2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -8m + m2 = 0 + -8.666666667
-8m + m2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-8m + m2 = -8.666666667

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 = -8.666666667 + 16

Reorder the terms:
16 + -8m + m2 = -8.666666667 + 16

Combine like terms: -8.666666667 + 16 = 7.333333333
16 + -8m + m2 = 7.333333333

Factor a perfect square on the left side:
(m + -4)(m + -4) = 7.333333333

Calculate the square root of the right side: 2.708012801

Break this problem into two subproblems by setting 
(m + -4) equal to 2.708012801 and -2.708012801.


Subproblem 1
m + -4 = 2.708012801

Simplifying
m + -4 = 2.708012801

Reorder the terms:
-4 + m = 2.708012801

Solving
-4 + m = 2.708012801

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 = 2.708012801 + 4

Combine like terms: -4 + 4 = 0
0 + m = 2.708012801 + 4
m = 2.708012801 + 4

Combine like terms: 2.708012801 + 4 = 6.708012801
m = 6.708012801

Simplifying
m = 6.708012801


Subproblem 2
m + -4 = -2.708012801

Simplifying
m + -4 = -2.708012801

Reorder the terms:
-4 + m = -2.708012801

Solving
-4 + m = -2.708012801

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 = -2.708012801 + 4

Combine like terms: -4 + 4 = 0
0 + m = -2.708012801 + 4
m = -2.708012801 + 4

Combine like terms: -2.708012801 + 4 = 1.291987199
m = 1.291987199

Simplifying
m = 1.291987199


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {6.708012801, 1.291987199}

See similar equations:

| 2tank=2 | | 7(2x-3)=8x-5 | | 3a-6=5a+2 | | (-4+7)-(-7x-8)= | | (3x-2)-(x-2)= | | -15+12x=21 | | 3w=243 | | (6x+3)-(4x-4)= | | (3x+4)-(x+1)= | | -14n=-126 | | (4x-8)-(-3x+10)= | | -2x+12=-2 | | 8*x=9*d | | (6x-7)-(2x+5)= | | 4sinx=1+2sinx | | N-103=51 | | 3-3cos=0 | | 5m^2+-18m+8=0 | | 4*-10+5=0 | | 5m^2-18m+-8=0 | | 2-4x=7x | | (180(n-2))/n=9 | | 10x*x=6x-2 | | (x-2)(x+3)(x-4)=24 | | N-14=53 | | 9x^3=10x^4 | | N+17=49 | | 5x/9-2x/9=7 | | sinx-5cosx=1 | | 2x+9=4(1-3x) | | 6x+4y=5.6 | | 4x/3-1=7 |

Equations solver categories