3x^2+40x+131=0

Simple and best practice solution for 3x^2+40x+131=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 3x^2+40x+131=0 equation: 


Simplifying
3x2 + 40x + 131 = 0

Reorder the terms:
131 + 40x + 3x2 = 0

Solving
131 + 40x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
43.66666667 + 13.33333333x + x2 = 0

Move the constant term to the right:

Add '-43.66666667' to each side of the equation.
43.66666667 + 13.33333333x + -43.66666667 + x2 = 0 + -43.66666667

Reorder the terms:
43.66666667 + -43.66666667 + 13.33333333x + x2 = 0 + -43.66666667

Combine like terms: 43.66666667 + -43.66666667 = 0.00000000
0.00000000 + 13.33333333x + x2 = 0 + -43.66666667
13.33333333x + x2 = 0 + -43.66666667

Combine like terms: 0 + -43.66666667 = -43.66666667
13.33333333x + x2 = -43.66666667

The x term is 13.33333333x.  Take half its coefficient (6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
13.33333333x + 44.44444442 + x2 = -43.66666667 + 44.44444442

Reorder the terms:
44.44444442 + 13.33333333x + x2 = -43.66666667 + 44.44444442

Combine like terms: -43.66666667 + 44.44444442 = 0.77777775
44.44444442 + 13.33333333x + x2 = 0.77777775

Factor a perfect square on the left side:
(x + 6.666666665)(x + 6.666666665) = 0.77777775

Calculate the square root of the right side: 0.881917088

Break this problem into two subproblems by setting 
(x + 6.666666665) equal to 0.881917088 and -0.881917088.


Subproblem 1
x + 6.666666665 = 0.881917088

Simplifying
x + 6.666666665 = 0.881917088

Reorder the terms:
6.666666665 + x = 0.881917088

Solving
6.666666665 + x = 0.881917088

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = 0.881917088 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = 0.881917088 + -6.666666665
x = 0.881917088 + -6.666666665

Combine like terms: 0.881917088 + -6.666666665 = -5.784749577
x = -5.784749577

Simplifying
x = -5.784749577


Subproblem 2
x + 6.666666665 = -0.881917088

Simplifying
x + 6.666666665 = -0.881917088

Reorder the terms:
6.666666665 + x = -0.881917088

Solving
6.666666665 + x = -0.881917088

Solving for variable 'x'.

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

Add '-6.666666665' to each side of the equation.
6.666666665 + -6.666666665 + x = -0.881917088 + -6.666666665

Combine like terms: 6.666666665 + -6.666666665 = 0.000000000
0.000000000 + x = -0.881917088 + -6.666666665
x = -0.881917088 + -6.666666665

Combine like terms: -0.881917088 + -6.666666665 = -7.548583753
x = -7.548583753

Simplifying
x = -7.548583753


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-5.784749577, -7.548583753}

See similar equations:

| 7/5-(9/10-3/2) | | 2x+-20=32 | | (2/5)*(1/6) | | x-(30x/100)-150000=75313 | | 3/11x-5 | | 3(x+1)-5=4x-13 | | 4c+5(4)=11 | | 7n+-4n=1.8+9.5 | | 8x=4(x+1)+6(x-1) | | 2x+15-6x=95 | | x-30x-150000=-75313 | | 2y+3(y-2)=6y-3(y-10) | | x/10=.15 | | 3w-9-5w= | | y^4*y^6=y^10 | | .10x+.25(24)=4.50 | | 6/7w=2/3 | | 1/2x-1/3=1/2 | | Cos^2*x=cosx | | -3(4x+2)=3 | | D^3=8 | | 3t=12-(3t+4) | | .10x+.25(24)-4.50= | | 5(6x+1)=2 | | (28/100) | | (Cos^2)x=cosx | | 5+3(4-8)= | | 10x-1=31 | | 13a+15=4(a+6) | | -4y+10=-2(2y+1) | | x+ln(3-x)-ln(2)=0 | | 3x+3xy=25 |

Equations solver categories