9x^2+36x+34=0

Simple and best practice solution for 9x^2+36x+34=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+34=0 equation:


Simplifying
9x2 + 36x + 34 = 0

Reorder the terms:
34 + 36x + 9x2 = 0

Solving
34 + 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'.
3.777777778 + 4x + x2 = 0

Move the constant term to the right:

Add '-3.777777778' to each side of the equation.
3.777777778 + 4x + -3.777777778 + x2 = 0 + -3.777777778

Reorder the terms:
3.777777778 + -3.777777778 + 4x + x2 = 0 + -3.777777778

Combine like terms: 3.777777778 + -3.777777778 = 0.000000000
0.000000000 + 4x + x2 = 0 + -3.777777778
4x + x2 = 0 + -3.777777778

Combine like terms: 0 + -3.777777778 = -3.777777778
4x + x2 = -3.777777778

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 = -3.777777778 + 4

Reorder the terms:
4 + 4x + x2 = -3.777777778 + 4

Combine like terms: -3.777777778 + 4 = 0.222222222
4 + 4x + x2 = 0.222222222

Factor a perfect square on the left side:
(x + 2)(x + 2) = 0.222222222

Calculate the square root of the right side: 0.471404521

Break this problem into two subproblems by setting 
(x + 2) equal to 0.471404521 and -0.471404521.

Subproblem 1

x + 2 = 0.471404521 Simplifying x + 2 = 0.471404521 Reorder the terms: 2 + x = 0.471404521 Solving 2 + x = 0.471404521 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 = 0.471404521 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0.471404521 + -2 x = 0.471404521 + -2 Combine like terms: 0.471404521 + -2 = -1.528595479 x = -1.528595479 Simplifying x = -1.528595479

Subproblem 2

x + 2 = -0.471404521 Simplifying x + 2 = -0.471404521 Reorder the terms: 2 + x = -0.471404521 Solving 2 + x = -0.471404521 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 = -0.471404521 + -2 Combine like terms: 2 + -2 = 0 0 + x = -0.471404521 + -2 x = -0.471404521 + -2 Combine like terms: -0.471404521 + -2 = -2.471404521 x = -2.471404521 Simplifying x = -2.471404521

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-1.528595479, -2.471404521}

See similar equations:

| 12(6a)= | | 3x(x+2)=3(x^2-2) | | -6(12y)= | | (x(x))-y= | | 2x^3+7x^2=15x | | x+20+3x=19-3x-24 | | -5+9=17x-3-16x | | 3x-2(x-4)=7 | | 2x^2-10=64 | | 3x^2-84=0 | | 2y+3=y-7 | | 5x-11x= | | 2x-2y=12 | | 5x^2+4x+2=0 | | 8x+16-7x=-2-13 | | 20-3m=2m-8m | | 6+2[x-(2x+8)]=8x | | x^2-29=0 | | x-4=-2+3 | | 5x^3+10x=0 | | 12x-(8x-6)=14 | | 81x^2+17=81 | | 2n-5n=15 | | 4w^2-25=0 | | 6(x-7)-8x= | | 2(1-X)(X)=0.02 | | 5x^2+22x+17=0 | | -8=x+1 | | x+17+2x=4-2x-9 | | (5w-6)(5w-6)=0 | | 4x-9=7x+3 | | 7z=-2 |

Equations solver categories