9x^2+36x+2=0

Simple and best practice solution for 9x^2+36x+2=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 9x^2+36x+2=0 equation:


Simplifying
9x2 + 36x + 2 = 0

Reorder the terms:
2 + 36x + 9x2 = 0

Solving
2 + 36x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
0.2222222222 + 4x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + 4x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + 4x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + 4x + x2 = 0 + -0.2222222222
4x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
4x + x2 = -0.2222222222

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -0.2222222222 + 4

Reorder the terms:
4 + 4x + x2 = -0.2222222222 + 4

Combine like terms: -0.2222222222 + 4 = 3.7777777778
4 + 4x + x2 = 3.7777777778

Factor a perfect square on the left side:
(x + 2)(x + 2) = 3.7777777778

Calculate the square root of the right side: 1.943650632

Break this problem into two subproblems by setting 
(x + 2) equal to 1.943650632 and -1.943650632.

Subproblem 1

x + 2 = 1.943650632 Simplifying x + 2 = 1.943650632 Reorder the terms: 2 + x = 1.943650632 Solving 2 + x = 1.943650632 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 1.943650632 + -2 Combine like terms: 2 + -2 = 0 0 + x = 1.943650632 + -2 x = 1.943650632 + -2 Combine like terms: 1.943650632 + -2 = -0.056349368 x = -0.056349368 Simplifying x = -0.056349368

Subproblem 2

x + 2 = -1.943650632 Simplifying x + 2 = -1.943650632 Reorder the terms: 2 + x = -1.943650632 Solving 2 + x = -1.943650632 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -1.943650632 + -2 Combine like terms: 2 + -2 = 0 0 + x = -1.943650632 + -2 x = -1.943650632 + -2 Combine like terms: -1.943650632 + -2 = -3.943650632 x = -3.943650632 Simplifying x = -3.943650632

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.056349368, -3.943650632}

See similar equations:

| 6x-8(5x+7)=-9(4x+5)+3 | | 4x-57+5x+66=180 | | 180-x+30=4(90-x) | | 10.4r+9.9=8.6r+15.63-8.97 | | 2(8+n)-a=0 | | -6y-30=-9(y+1) | | 3(4-v)=6v+12 | | 3+9h=19+4+10h | | 5x^3+13x^2-69x-45=0 | | 9x+21+2x+16=180 | | 4x+2=-5(x-1) | | h(2)=-4(7)+61 | | 20m=19m-7 | | -12c+4=-14c+18 | | -9t+9=-8t | | 3x-1=4x-x | | 11m=-132 | | 4k-9=-9k+4 | | f(2)=2(7)-8 | | 8-5z=-4z | | 6v+2=9v+4 | | 7g+5+3g=-5+8g | | 157-y=270 | | -9s-10=-10s | | 30-y=188 | | -4v=6-5v | | 4(x+3)=4(x+11) | | -1-7j=-6j+8 | | 5(10)+2-4=p | | 15x+4y=55 | | 7x(n+2.9)= | | -9-9d=7-7d |

Equations solver categories