6x^2+11x-5=0

Simple and best practice solution for 6x^2+11x-5=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 6x^2+11x-5=0 equation: 


Simplifying
6x2 + 11x + -5 = 0

Reorder the terms:
-5 + 11x + 6x2 = 0

Solving
-5 + 11x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-0.8333333333 + 1.833333333x + x2 = 0

Move the constant term to the right:

Add '0.8333333333' to each side of the equation.
-0.8333333333 + 1.833333333x + 0.8333333333 + x2 = 0 + 0.8333333333

Reorder the terms:
-0.8333333333 + 0.8333333333 + 1.833333333x + x2 = 0 + 0.8333333333

Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000
0.0000000000 + 1.833333333x + x2 = 0 + 0.8333333333
1.833333333x + x2 = 0 + 0.8333333333

Combine like terms: 0 + 0.8333333333 = 0.8333333333
1.833333333x + x2 = 0.8333333333

The x term is 1.833333333x.  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.
1.833333333x + 0.8402777775 + x2 = 0.8333333333 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333x + x2 = 0.8333333333 + 0.8402777775

Combine like terms: 0.8333333333 + 0.8402777775 = 1.6736111108
0.8402777775 + 1.833333333x + x2 = 1.6736111108

Factor a perfect square on the left side:
(x + 0.9166666665)(x + 0.9166666665) = 1.6736111108

Calculate the square root of the right side: 1.293681225

Break this problem into two subproblems by setting 
(x + 0.9166666665) equal to 1.293681225 and -1.293681225.


Subproblem 1
x + 0.9166666665 = 1.293681225

Simplifying
x + 0.9166666665 = 1.293681225

Reorder the terms:
0.9166666665 + x = 1.293681225

Solving
0.9166666665 + x = 1.293681225

Solving for variable 'x'.

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

Add '-0.9166666665' to each side of the equation.
0.9166666665 + -0.9166666665 + x = 1.293681225 + -0.9166666665

Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000
0.0000000000 + x = 1.293681225 + -0.9166666665
x = 1.293681225 + -0.9166666665

Combine like terms: 1.293681225 + -0.9166666665 = 0.3770145585
x = 0.3770145585

Simplifying
x = 0.3770145585


Subproblem 2
x + 0.9166666665 = -1.293681225

Simplifying
x + 0.9166666665 = -1.293681225

Reorder the terms:
0.9166666665 + x = -1.293681225

Solving
0.9166666665 + x = -1.293681225

Solving for variable 'x'.

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

Add '-0.9166666665' to each side of the equation.
0.9166666665 + -0.9166666665 + x = -1.293681225 + -0.9166666665

Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000
0.0000000000 + x = -1.293681225 + -0.9166666665
x = -1.293681225 + -0.9166666665

Combine like terms: -1.293681225 + -0.9166666665 = -2.2103478915
x = -2.2103478915

Simplifying
x = -2.2103478915


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.3770145585, -2.2103478915}

See similar equations:

| 169-4x=41x+24 | | 12-10x=132-38 | | 0.6x-6=9 | | 3+2x*6=x*(-4)+2 | | y-(-3)=10(x-5) | | 3x+11=-5-7x | | 3+3x*6=x*(-4)+2 | | 2x+3*6=x*-4+2 | | 60v^2-117vd+54d^2= | | 204-2x=43x+19 | | 222-3x=42x+17 | | x+x+10=100 | | 3a^2-18a=0 | | 2x+3(6x-15)=-145 | | -2x^2-14x+30=0 | | -4x^2-7x=-5 | | 6-6x=2x+5 | | 17+2x+x=74 | | 10x^2+60x=-50 | | 8(1)a+4(1)a+8(1)ab= | | -(4y+8)-(3y-5)=-1 | | 1-x+5=8 | | 4u(5u+3)=0 | | 58-3x=15x+20 | | 10x+5=7x-4 | | H=30-16t^2 | | -x-7(15)=x-2(3) | | 3c+4=20-c | | -13-10x=7x+21 | | -5x-5(-3x-8)=160 | | 2n^2-n=0 | | 2n^2-n=o |

Equations solver categories