6x^2-29x+1=0

Simple and best practice solution for 6x^2-29x+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 6x^2-29x+1=0 equation: 


Simplifying
6x2 + -29x + 1 = 0

Reorder the terms:
1 + -29x + 6x2 = 0

Solving
1 + -29x + 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'.
0.1666666667 + -4.833333333x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -4.833333333x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -4.833333333x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -4.833333333x + x2 = 0 + -0.1666666667
-4.833333333x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-4.833333333x + x2 = -0.1666666667

The x term is -4.833333333x.  Take half its coefficient (-2.416666667).
Square it (5.840277779) and add it to both sides.

Add '5.840277779' to each side of the equation.
-4.833333333x + 5.840277779 + x2 = -0.1666666667 + 5.840277779

Reorder the terms:
5.840277779 + -4.833333333x + x2 = -0.1666666667 + 5.840277779

Combine like terms: -0.1666666667 + 5.840277779 = 5.6736111123
5.840277779 + -4.833333333x + x2 = 5.6736111123

Factor a perfect square on the left side:
(x + -2.416666667)(x + -2.416666667) = 5.6736111123

Calculate the square root of the right side: 2.381934322

Break this problem into two subproblems by setting 
(x + -2.416666667) equal to 2.381934322 and -2.381934322.


Subproblem 1
x + -2.416666667 = 2.381934322

Simplifying
x + -2.416666667 = 2.381934322

Reorder the terms:
-2.416666667 + x = 2.381934322

Solving
-2.416666667 + x = 2.381934322

Solving for variable 'x'.

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

Add '2.416666667' to each side of the equation.
-2.416666667 + 2.416666667 + x = 2.381934322 + 2.416666667

Combine like terms: -2.416666667 + 2.416666667 = 0.000000000
0.000000000 + x = 2.381934322 + 2.416666667
x = 2.381934322 + 2.416666667

Combine like terms: 2.381934322 + 2.416666667 = 4.798600989
x = 4.798600989

Simplifying
x = 4.798600989


Subproblem 2
x + -2.416666667 = -2.381934322

Simplifying
x + -2.416666667 = -2.381934322

Reorder the terms:
-2.416666667 + x = -2.381934322

Solving
-2.416666667 + x = -2.381934322

Solving for variable 'x'.

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

Add '2.416666667' to each side of the equation.
-2.416666667 + 2.416666667 + x = -2.381934322 + 2.416666667

Combine like terms: -2.416666667 + 2.416666667 = 0.000000000
0.000000000 + x = -2.381934322 + 2.416666667
x = -2.381934322 + 2.416666667

Combine like terms: -2.381934322 + 2.416666667 = 0.034732345
x = 0.034732345

Simplifying
x = 0.034732345


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.798600989, 0.034732345}

See similar equations:

| -4n-12=24 | | 8x^2-29x+1=0 | | 9t-45+5t=14t+21-8 | | -1=-3(2x+2)+7x | | 4+3x=2x+12 | | 5(4z/3+3)=11 | | 12x+12=12x+24-12 | | 11-4x+13=16 | | 5m+1/8+1/2 | | 6x-(2x+9)=12 | | 2=k/6+2 | | -3(.16667y)-18=72 | | (x+8)(x-3)=0 | | 4z-3z=9z-1-2z | | 1/4+x=9 | | 5+4y-2=17 | | 2x+x=175 | | -7/11p=-9 | | (6)(.25x)(1.5)=9 | | 2[3*2+4]+78=34 | | 7m+53=102 | | 3r^2+5=35 | | -x+2y=-4 | | 2+(x+8)/3+1=0 | | 3k-19=14 | | 2-0.9k=2 | | 7980=698+987 | | 5(2.6+3.9)=5 | | 7980=-4785+1357 | | 7980=-4785-1357 | | 7y+6=3 | | 7980=-4785*-1357 |

Equations solver categories