36x^2-12x-1=0

Simple and best practice solution for 36x^2-12x-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 36x^2-12x-1=0 equation: 


Simplifying
36x2 + -12x + -1 = 0

Reorder the terms:
-1 + -12x + 36x2 = 0

Solving
-1 + -12x + 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'.
-0.02777777778 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '0.02777777778' to each side of the equation.
-0.02777777778 + -0.3333333333x + 0.02777777778 + x2 = 0 + 0.02777777778

Reorder the terms:
-0.02777777778 + 0.02777777778 + -0.3333333333x + x2 = 0 + 0.02777777778

Combine like terms: -0.02777777778 + 0.02777777778 = 0.00000000000
0.00000000000 + -0.3333333333x + x2 = 0 + 0.02777777778
-0.3333333333x + x2 = 0 + 0.02777777778

Combine like terms: 0 + 0.02777777778 = 0.02777777778
-0.3333333333x + x2 = 0.02777777778

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = 0.02777777778 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = 0.02777777778 + 0.02777777779

Combine like terms: 0.02777777778 + 0.02777777779 = 0.05555555557
0.02777777779 + -0.3333333333x + x2 = 0.05555555557

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = 0.05555555557

Calculate the square root of the right side: 0.23570226

Break this problem into two subproblems by setting 
(x + -0.1666666667) equal to 0.23570226 and -0.23570226.


Subproblem 1
x + -0.1666666667 = 0.23570226

Simplifying
x + -0.1666666667 = 0.23570226

Reorder the terms:
-0.1666666667 + x = 0.23570226

Solving
-0.1666666667 + x = 0.23570226

Solving for variable 'x'.

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

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.1666666667 + x = 0.23570226 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + x = 0.23570226 + 0.1666666667
x = 0.23570226 + 0.1666666667

Combine like terms: 0.23570226 + 0.1666666667 = 0.4023689267
x = 0.4023689267

Simplifying
x = 0.4023689267


Subproblem 2
x + -0.1666666667 = -0.23570226

Simplifying
x + -0.1666666667 = -0.23570226

Reorder the terms:
-0.1666666667 + x = -0.23570226

Solving
-0.1666666667 + x = -0.23570226

Solving for variable 'x'.

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

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.1666666667 + x = -0.23570226 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + x = -0.23570226 + 0.1666666667
x = -0.23570226 + 0.1666666667

Combine like terms: -0.23570226 + 0.1666666667 = -0.0690355933
x = -0.0690355933

Simplifying
x = -0.0690355933


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.4023689267, -0.0690355933}

See similar equations:

| .65=720a | | r^4=4r^3+12r^2 | | 3(2m-4)=2(10-m) | | -7c-18-2c=0 | | 0.05x+0.10(24-x)=0.75(24) | | 4x^2-12=22x | | 8x+1+6y=29 | | 8x+5y=38 | | b^2-23=0 | | (7+z)(5z+9)=0 | | 2(3x-4)=-(x+2) | | 5x^2+12x+1=0 | | 0=25m+75 | | 7x^2=11 | | 8-12m=32 | | 12.6=3b | | C+4=6c-11 | | 10v^3=10v | | 6x+y=1 | | 4(2x-3)=5(x+3) | | 8p^2+6=-3p | | 28+28= | | 5(x+x+x)=150 | | 5(t+t+t)=50 | | 12k^2+10=11k | | -8(x-1)=-16 | | 9x^3-8=0 | | 4*-9=19 | | 3(w-18)=244 | | 3(2x-5)=9-2x | | -70-35x=-245 | | 112-6x=30x+16 |

Equations solver categories