36x^2+12x-11=0

Simple and best practice solution for 36x^2+12x-11=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-11=0 equation: 


Simplifying
36x2 + 12x + -11 = 0

Reorder the terms:
-11 + 12x + 36x2 = 0

Solving
-11 + 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'.
-0.3055555556 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '0.3055555556' to each side of the equation.
-0.3055555556 + 0.3333333333x + 0.3055555556 + x2 = 0 + 0.3055555556

Reorder the terms:
-0.3055555556 + 0.3055555556 + 0.3333333333x + x2 = 0 + 0.3055555556

Combine like terms: -0.3055555556 + 0.3055555556 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + 0.3055555556
0.3333333333x + x2 = 0 + 0.3055555556

Combine like terms: 0 + 0.3055555556 = 0.3055555556
0.3333333333x + x2 = 0.3055555556

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 = 0.3055555556 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = 0.3055555556 + 0.02777777779

Combine like terms: 0.3055555556 + 0.02777777779 = 0.33333333339
0.02777777779 + 0.3333333333x + x2 = 0.33333333339

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = 0.33333333339

Calculate the square root of the right side: 0.577350269

Break this problem into two subproblems by setting 
(x + 0.1666666667) equal to 0.577350269 and -0.577350269.


Subproblem 1
x + 0.1666666667 = 0.577350269

Simplifying
x + 0.1666666667 = 0.577350269

Reorder the terms:
0.1666666667 + x = 0.577350269

Solving
0.1666666667 + x = 0.577350269

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 = 0.577350269 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + x = 0.577350269 + -0.1666666667
x = 0.577350269 + -0.1666666667

Combine like terms: 0.577350269 + -0.1666666667 = 0.4106836023
x = 0.4106836023

Simplifying
x = 0.4106836023


Subproblem 2
x + 0.1666666667 = -0.577350269

Simplifying
x + 0.1666666667 = -0.577350269

Reorder the terms:
0.1666666667 + x = -0.577350269

Solving
0.1666666667 + x = -0.577350269

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 = -0.577350269 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + x = -0.577350269 + -0.1666666667
x = -0.577350269 + -0.1666666667

Combine like terms: -0.577350269 + -0.1666666667 = -0.7440169357
x = -0.7440169357

Simplifying
x = -0.7440169357


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.4106836023, -0.7440169357}

See similar equations:

| -2(x-3)+5(2x+4)= | | 14=2s+4 | | x+2=3x-8 | | 2455x-678=678 | | x^3+4x^2-36x-144=0 | | 2W-5=8W+7 | | -x^2+4x^2-36x-144=0 | | 4r=2r+10 | | 14x^3-16x=2x^2 | | -2=2+5b-2-6b | | 45y+2=5 | | -3(7)(4)(-4)= | | X+12*4=x*2-90 | | 7x^3-35x^2+28x=0 | | 28g+-68=-712 | | 3j+33=81 | | 10v^2+33v+20=0 | | 140n=98 | | 117-3x=15x+17 | | -x+15=3x+3 | | 225-4x=41x+20 | | 8+2a-5+6a= | | 14c^2-11c+2=0 | | 3(x+6)=2(x-5) | | 2m+3m= | | 4x-14=x+4 | | -2x=x-28 | | 12-9x=72-23x | | 3y-9+y+45=6y+40-4y | | -2x-12=2x+16 | | -5(2p+4)-18=4(3p+7) | | 6(c-4)=7(c-7) |

Equations solver categories