3x^2+11x+1=0

Simple and best practice solution for 3x^2+11x+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 3x^2+11x+1=0 equation: 


Simplifying
3x2 + 11x + 1 = 0

Reorder the terms:
1 + 11x + 3x2 = 0

Solving
1 + 11x + 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'.
0.3333333333 + 3.666666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 3.666666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 3.666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 3.666666667x + x2 = 0 + -0.3333333333
3.666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
3.666666667x + x2 = -0.3333333333

The x term is 3.666666667x.  Take half its coefficient (1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
3.666666667x + 3.361111114 + x2 = -0.3333333333 + 3.361111114

Reorder the terms:
3.361111114 + 3.666666667x + x2 = -0.3333333333 + 3.361111114

Combine like terms: -0.3333333333 + 3.361111114 = 3.0277777807
3.361111114 + 3.666666667x + x2 = 3.0277777807

Factor a perfect square on the left side:
(x + 1.833333334)(x + 1.833333334) = 3.0277777807

Calculate the square root of the right side: 1.740051086

Break this problem into two subproblems by setting 
(x + 1.833333334) equal to 1.740051086 and -1.740051086.


Subproblem 1
x + 1.833333334 = 1.740051086

Simplifying
x + 1.833333334 = 1.740051086

Reorder the terms:
1.833333334 + x = 1.740051086

Solving
1.833333334 + x = 1.740051086

Solving for variable 'x'.

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

Add '-1.833333334' to each side of the equation.
1.833333334 + -1.833333334 + x = 1.740051086 + -1.833333334

Combine like terms: 1.833333334 + -1.833333334 = 0.000000000
0.000000000 + x = 1.740051086 + -1.833333334
x = 1.740051086 + -1.833333334

Combine like terms: 1.740051086 + -1.833333334 = -0.093282248
x = -0.093282248

Simplifying
x = -0.093282248


Subproblem 2
x + 1.833333334 = -1.740051086

Simplifying
x + 1.833333334 = -1.740051086

Reorder the terms:
1.833333334 + x = -1.740051086

Solving
1.833333334 + x = -1.740051086

Solving for variable 'x'.

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

Add '-1.833333334' to each side of the equation.
1.833333334 + -1.833333334 + x = -1.740051086 + -1.833333334

Combine like terms: 1.833333334 + -1.833333334 = 0.000000000
0.000000000 + x = -1.740051086 + -1.833333334
x = -1.740051086 + -1.833333334

Combine like terms: -1.740051086 + -1.833333334 = -3.57338442
x = -3.57338442

Simplifying
x = -3.57338442


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.093282248, -3.57338442}

See similar equations:

| 2+3x=7+5x | | 0=1800+.2x^2-.002x^3 | | -2(x-6)=3x | | 10m(-8)= | | y+9=2(x+5) | | (5/9)g+8=(1/6)g+1 | | -7-1-2+4+3-5+12+19=x | | 3(2+6x)-8(x-5)=4(3x+2) | | 2(x+7)-(6x-1)=0 | | 5+3/4x | | 2.76x/289.90x=7643 | | 6543b-89b=5789b | | 5x^2+2xy-3y^2=0 | | 4(x-3)2=2(3x-7) | | 23y=42y | | 5x^2+2xy-3y^2+3=0 | | 1/2s=21 | | 6x^2=7x+11 | | 0.02y-2.6=0.84 | | 3x-3/2=x+1 | | 1/6x=7 | | (X+5)/(4x^2+23x+18) | | -72x^2+13x+20=0 | | X+5/4x^2+23x+18 | | 2x^2=4096 | | x/15-450 | | x+5(2x)=x+3x | | 3(x-3)2=3(3x-9) | | 2x+5=3(x+1)-2 | | 9+11x=-5x+21 | | 9+11x=-5x+12 | | y=150x+1000graph |

Equations solver categories