36x^2-6x+0.25=0

Simple and best practice solution for 36x^2-6x+0.25=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 36x^2-6x+0.25=0 equation: 


Simplifying
36x2 + -6x + 0.25 = 0

Reorder the terms:
0.25 + -6x + 36x2 = 0

Solving
0.25 + -6x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
0.006944444444 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.006944444444' to each side of the equation.
0.006944444444 + -0.1666666667x + -0.006944444444 + x2 = 0 + -0.006944444444

Reorder the terms:
0.006944444444 + -0.006944444444 + -0.1666666667x + x2 = 0 + -0.006944444444

Combine like terms: 0.006944444444 + -0.006944444444 = 0.000000000000
0.000000000000 + -0.1666666667x + x2 = 0 + -0.006944444444
-0.1666666667x + x2 = 0 + -0.006944444444

Combine like terms: 0 + -0.006944444444 = -0.006944444444
-0.1666666667x + x2 = -0.006944444444

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -0.006944444444 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.006944444444 + 0.006944444447

Combine like terms: -0.006944444444 + 0.006944444447 = 0.000000000003
0.006944444447 + -0.1666666667x + x2 = 0.000000000003

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = 0.000000000003

Calculate the square root of the right side: 0.000001732

Break this problem into two subproblems by setting 
(x + -0.08333333335) equal to 0.000001732 and -0.000001732.


Subproblem 1
x + -0.08333333335 = 0.000001732

Simplifying
x + -0.08333333335 = 0.000001732

Reorder the terms:
-0.08333333335 + x = 0.000001732

Solving
-0.08333333335 + x = 0.000001732

Solving for variable 'x'.

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

Add '0.08333333335' to each side of the equation.
-0.08333333335 + 0.08333333335 + x = 0.000001732 + 0.08333333335

Combine like terms: -0.08333333335 + 0.08333333335 = 0.00000000000
0.00000000000 + x = 0.000001732 + 0.08333333335
x = 0.000001732 + 0.08333333335

Combine like terms: 0.000001732 + 0.08333333335 = 0.08333506535
x = 0.08333506535

Simplifying
x = 0.08333506535


Subproblem 2
x + -0.08333333335 = -0.000001732

Simplifying
x + -0.08333333335 = -0.000001732

Reorder the terms:
-0.08333333335 + x = -0.000001732

Solving
-0.08333333335 + x = -0.000001732

Solving for variable 'x'.

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

Add '0.08333333335' to each side of the equation.
-0.08333333335 + 0.08333333335 + x = -0.000001732 + 0.08333333335

Combine like terms: -0.08333333335 + 0.08333333335 = 0.00000000000
0.00000000000 + x = -0.000001732 + 0.08333333335
x = -0.000001732 + 0.08333333335

Combine like terms: -0.000001732 + 0.08333333335 = 0.08333160135
x = 0.08333160135

Simplifying
x = 0.08333160135


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.08333506535, 0.08333160135}

See similar equations:

| 0.2(15j-25)=0.66(12-15) | | 33x^2-6x+0.25=0 | | 3x=1y-4 | | B/10=3/5 | | 3f=20 | | S-11s= | | 2-3a+6a=30 | | -5m=-84+6 | | ((x^2-4)/2x)(6/(3x-6)) | | 21a=21+0 | | 15x^2-11x-56=0 | | 0=4x+16-64 | | 7a+8a=45 | | 2+6a=38 | | 9x-63=7x | | -5w+18+3w=8 | | -21+2a=13 | | 10v^3-18v^2/2v^2 | | 1/5e=-4 | | 5b-15b+14= | | -9(x-6)+2=56 | | 9x-17=68+8x | | 49b^2+69b+25= | | 10x-17=68-8x | | y-6+5r+3r-3=180 | | 9x-17=68-8x | | 22x^6y^11/xy^4 | | (2t-1)/(2t)=21 | | 6z-5=10 | | n-4/5=11/5 | | 16/-3 | | (13/52)*(40-52)/(40/52) |

Equations solver categories