6m^2+10m+1=0

Simple and best practice solution for 6m^2+10m+1=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+10m+1=0 equation: 


Simplifying
6m2 + 10m + 1 = 0

Reorder the terms:
1 + 10m + 6m2 = 0

Solving
1 + 10m + 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'.
0.1666666667 + 1.666666667m + m2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + 1.666666667m + -0.1666666667 + m2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + 1.666666667m + m2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + 1.666666667m + m2 = 0 + -0.1666666667
1.666666667m + m2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
1.666666667m + m2 = -0.1666666667

The m term is 1.666666667m.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667m + 0.6944444447 + m2 = -0.1666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667m + m2 = -0.1666666667 + 0.6944444447

Combine like terms: -0.1666666667 + 0.6944444447 = 0.527777778
0.6944444447 + 1.666666667m + m2 = 0.527777778

Factor a perfect square on the left side:
(m + 0.8333333335)(m + 0.8333333335) = 0.527777778

Calculate the square root of the right side: 0.726483157

Break this problem into two subproblems by setting 
(m + 0.8333333335) equal to 0.726483157 and -0.726483157.


Subproblem 1
m + 0.8333333335 = 0.726483157

Simplifying
m + 0.8333333335 = 0.726483157

Reorder the terms:
0.8333333335 + m = 0.726483157

Solving
0.8333333335 + m = 0.726483157

Solving for variable 'm'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + m = 0.726483157 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + m = 0.726483157 + -0.8333333335
m = 0.726483157 + -0.8333333335

Combine like terms: 0.726483157 + -0.8333333335 = -0.1068501765
m = -0.1068501765

Simplifying
m = -0.1068501765


Subproblem 2
m + 0.8333333335 = -0.726483157

Simplifying
m + 0.8333333335 = -0.726483157

Reorder the terms:
0.8333333335 + m = -0.726483157

Solving
0.8333333335 + m = -0.726483157

Solving for variable 'm'.

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

Add '-0.8333333335' to each side of the equation.
0.8333333335 + -0.8333333335 + m = -0.726483157 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + m = -0.726483157 + -0.8333333335
m = -0.726483157 + -0.8333333335

Combine like terms: -0.726483157 + -0.8333333335 = -1.5598164905
m = -1.5598164905

Simplifying
m = -1.5598164905


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {-0.1068501765, -1.5598164905}

See similar equations:

| 2x+3yi=2+9i | | (x2+10x-15)/(x3-2x2-x+2) | | 6n+1=-6 | | 6n+1=1 | | -3(t-2)+7t=8t-7 | | 7x-5=7(x-3) | | x^2=8-15 | | X/5+1=x/5 | | 10+3=13 | | (2+2/5*5*2)*2= | | (3x^2+20x+28)/(x+5) | | 0.14(y-6)+0.04y=0.06y-0.05(30) | | -4(2)*2+5*3/5= | | 3(5)*3+10= | | 4(x+3)=2x-1 | | 0.80x+0.25(40)=0.40(43) | | 6a-30=5 | | ln(x)+ln(x+10)=8 | | 9x+12y+24= | | -3x^2+24x+99=0 | | -7(x-3)+2=23 | | 5(2y)-1-2(2y)=4 | | -2x+1/4=2x+4/5 | | -7/8c+5.6=-5/8c-3.3 | | (10x^6)+(8^4)/2x^2 | | 7/x+5+3/x | | 2(x-1)-9=6x-4(4-x) | | 50+25x=25+30x | | 4x+2=4(x+6) | | y-(-1)=1/4(-3)(x-3)2 | | 4=7/5-2/x | | 3x+1/8=4x+5/8 |

Equations solver categories