0=3x^2+41x+8

Simple and best practice solution for 0=3x^2+41x+8 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 0=3x^2+41x+8 equation: 


Simplifying
0 = 3x2 + 41x + 8

Reorder the terms:
0 = 8 + 41x + 3x2

Solving
0 = 8 + 41x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + -41x + -3x2 = 8 + 41x + 3x2 + -8 + -41x + -3x2

Reorder the terms:
-8 + -41x + -3x2 = 8 + -8 + 41x + -41x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + -41x + -3x2 = 0 + 41x + -41x + 3x2 + -3x2
-8 + -41x + -3x2 = 41x + -41x + 3x2 + -3x2

Combine like terms: 41x + -41x = 0
-8 + -41x + -3x2 = 0 + 3x2 + -3x2
-8 + -41x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + -41x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 41x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 41x + 3x2)' equal to zero and attempt to solve:

Simplifying
8 + 41x + 3x2 = 0

Solving
8 + 41x + 3x2 = 0

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

Divide each side by '3'.
2.666666667 + 13.66666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 13.66666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 13.66666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 13.66666667x + x2 = 0 + -2.666666667
13.66666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
13.66666667x + x2 = -2.666666667

The x term is 13.66666667x.  Take half its coefficient (6.833333335).
Square it (46.69444447) and add it to both sides.

Add '46.69444447' to each side of the equation.
13.66666667x + 46.69444447 + x2 = -2.666666667 + 46.69444447

Reorder the terms:
46.69444447 + 13.66666667x + x2 = -2.666666667 + 46.69444447

Combine like terms: -2.666666667 + 46.69444447 = 44.027777803
46.69444447 + 13.66666667x + x2 = 44.027777803

Factor a perfect square on the left side:
(x + 6.833333335)(x + 6.833333335) = 44.027777803

Calculate the square root of the right side: 6.635343081

Break this problem into two subproblems by setting 
(x + 6.833333335) equal to 6.635343081 and -6.635343081.


Subproblem 1
x + 6.833333335 = 6.635343081

Simplifying
x + 6.833333335 = 6.635343081

Reorder the terms:
6.833333335 + x = 6.635343081

Solving
6.833333335 + x = 6.635343081

Solving for variable 'x'.

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

Add '-6.833333335' to each side of the equation.
6.833333335 + -6.833333335 + x = 6.635343081 + -6.833333335

Combine like terms: 6.833333335 + -6.833333335 = 0.000000000
0.000000000 + x = 6.635343081 + -6.833333335
x = 6.635343081 + -6.833333335

Combine like terms: 6.635343081 + -6.833333335 = -0.197990254
x = -0.197990254

Simplifying
x = -0.197990254


Subproblem 2
x + 6.833333335 = -6.635343081

Simplifying
x + 6.833333335 = -6.635343081

Reorder the terms:
6.833333335 + x = -6.635343081

Solving
6.833333335 + x = -6.635343081

Solving for variable 'x'.

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

Add '-6.833333335' to each side of the equation.
6.833333335 + -6.833333335 + x = -6.635343081 + -6.833333335

Combine like terms: 6.833333335 + -6.833333335 = 0.000000000
0.000000000 + x = -6.635343081 + -6.833333335
x = -6.635343081 + -6.833333335

Combine like terms: -6.635343081 + -6.833333335 = -13.468676416
x = -13.468676416

Simplifying
x = -13.468676416


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.197990254, -13.468676416}
Solution
x = {-0.197990254, -13.468676416}

See similar equations:

| 4x+2.1=6.5 | | 15+x=99 | | 1x(x+2)-2x=-2(x+1) | | X-46=34 | | -5+133=169+-9x | | 27=16+x | | 2(x+8)=4(x+4)-2x | | x(8+2)+3=2 | | X=3(8) | | t=1/6pm | | X-84=5 | | x^2+y^2-10x+14y-62=0 | | X+39=87 | | 77-25=x | | k-27.3=57.7 | | X=28+11 | | X-14=62 | | 4x^2-12x+8=7 | | 8x-3=2x-6 | | 3n-9=-15 | | http://www.thelearningodyssey.com/Assess/DPT/QIEImagesStorage/HSLQ_/HSLQ_AI13C03_D_stem2_1.gif | | 2(n+7)=-10 | | 24=1/2(8)h | | (2x-10)/5=6 | | ln(ln(8))-ln(ln(2))-ln(x)=2 | | 4(2-6x)-6=8x+[-(3x-11)+20] | | 54=(x+3)(x) | | 7v+v=24 | | y-4=1/8(x-5) | | log^4(-3x-8)=1 | | -4+-12=24 | | 2x-7lnx=0 |

Equations solver categories