6m^2-11m-26=0

Simple and best practice solution for 6m^2-11m-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 6m^2-11m-26=0 equation: 


Simplifying
6m2 + -11m + -26 = 0

Reorder the terms:
-26 + -11m + 6m2 = 0

Solving
-26 + -11m + 6m2 = 0

Solving for variable 'm'.

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

Divide each side by '6'.
-4.333333333 + -1.833333333m + m2 = 0

Move the constant term to the right:

Add '4.333333333' to each side of the equation.
-4.333333333 + -1.833333333m + 4.333333333 + m2 = 0 + 4.333333333

Reorder the terms:
-4.333333333 + 4.333333333 + -1.833333333m + m2 = 0 + 4.333333333

Combine like terms: -4.333333333 + 4.333333333 = 0.000000000
0.000000000 + -1.833333333m + m2 = 0 + 4.333333333
-1.833333333m + m2 = 0 + 4.333333333

Combine like terms: 0 + 4.333333333 = 4.333333333
-1.833333333m + m2 = 4.333333333

The m term is -1.833333333m.  Take half its coefficient (-0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
-1.833333333m + 0.8402777775 + m2 = 4.333333333 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333m + m2 = 4.333333333 + 0.8402777775

Combine like terms: 4.333333333 + 0.8402777775 = 5.1736111105
0.8402777775 + -1.833333333m + m2 = 5.1736111105

Factor a perfect square on the left side:
(m + -0.9166666665)(m + -0.9166666665) = 5.1736111105

Calculate the square root of the right side: 2.274557344

Break this problem into two subproblems by setting 
(m + -0.9166666665) equal to 2.274557344 and -2.274557344.


Subproblem 1
m + -0.9166666665 = 2.274557344

Simplifying
m + -0.9166666665 = 2.274557344

Reorder the terms:
-0.9166666665 + m = 2.274557344

Solving
-0.9166666665 + m = 2.274557344

Solving for variable 'm'.

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

Add '0.9166666665' to each side of the equation.
-0.9166666665 + 0.9166666665 + m = 2.274557344 + 0.9166666665

Combine like terms: -0.9166666665 + 0.9166666665 = 0.0000000000
0.0000000000 + m = 2.274557344 + 0.9166666665
m = 2.274557344 + 0.9166666665

Combine like terms: 2.274557344 + 0.9166666665 = 3.1912240105
m = 3.1912240105

Simplifying
m = 3.1912240105


Subproblem 2
m + -0.9166666665 = -2.274557344

Simplifying
m + -0.9166666665 = -2.274557344

Reorder the terms:
-0.9166666665 + m = -2.274557344

Solving
-0.9166666665 + m = -2.274557344

Solving for variable 'm'.

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

Add '0.9166666665' to each side of the equation.
-0.9166666665 + 0.9166666665 + m = -2.274557344 + 0.9166666665

Combine like terms: -0.9166666665 + 0.9166666665 = 0.0000000000
0.0000000000 + m = -2.274557344 + 0.9166666665
m = -2.274557344 + 0.9166666665

Combine like terms: -2.274557344 + 0.9166666665 = -1.3578906775
m = -1.3578906775

Simplifying
m = -1.3578906775


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {3.1912240105, -1.3578906775}

See similar equations:

| 98-94=31y-35y | | 6x+5=-2(x-3)-25 | | 9r^2+19r+2=0 | | 9x^2+19r+2=0 | | 405x-203+45x=102+115 | | g(-x)=x^2-10x-3 | | 8=t+3 | | 0=-2(y+9) | | g(x+2)=x^2-10x-3 | | x+2=5x-4+3x-1 | | 3+2(3n+5)-5= | | g(-1)=X^2-10x-3 | | 3n-10n=63 | | -6(2p+4)-20=5(5p+6) | | (.000065)(.10-x)=x^2 | | 6x^6+x^3-15=0 | | -1(x)=x^2-10x-3 | | 20p+q-10p+3q= | | -5x+9+2x^2=0 | | 8(3m+2)=4(5m+10) | | -12x+13x=5(2x+1)+13 | | 8(x+1)+4x=20 | | 4-4=3z-2z | | -85+8y+7=3(5y-4)-3 | | 2x+24=58 | | 3x^2+22x+32=0 | | 9x^2+4-x-2=4 | | 9x^2+4-x-2=2 | | 3+5=x-15 | | (2x+7)(x-3)= | | 16x^2-32x+12=0 | | 3x+24=x^2+4x+4 |

Equations solver categories