9x^2-36x-8=0

Simple and best practice solution for 9x^2-36x-8=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-8=0 equation:


Simplifying
9x2 + -36x + -8 = 0

Reorder the terms:
-8 + -36x + 9x2 = 0

Solving
-8 + -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'.
-0.8888888889 + -4x + x2 = 0

Move the constant term to the right:

Add '0.8888888889' to each side of the equation.
-0.8888888889 + -4x + 0.8888888889 + x2 = 0 + 0.8888888889

Reorder the terms:
-0.8888888889 + 0.8888888889 + -4x + x2 = 0 + 0.8888888889

Combine like terms: -0.8888888889 + 0.8888888889 = 0.0000000000
0.0000000000 + -4x + x2 = 0 + 0.8888888889
-4x + x2 = 0 + 0.8888888889

Combine like terms: 0 + 0.8888888889 = 0.8888888889
-4x + x2 = 0.8888888889

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 = 0.8888888889 + 4

Reorder the terms:
4 + -4x + x2 = 0.8888888889 + 4

Combine like terms: 0.8888888889 + 4 = 4.8888888889
4 + -4x + x2 = 4.8888888889

Factor a perfect square on the left side:
(x + -2)(x + -2) = 4.8888888889

Calculate the square root of the right side: 2.211083194

Break this problem into two subproblems by setting 
(x + -2) equal to 2.211083194 and -2.211083194.

Subproblem 1

x + -2 = 2.211083194 Simplifying x + -2 = 2.211083194 Reorder the terms: -2 + x = 2.211083194 Solving -2 + x = 2.211083194 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 = 2.211083194 + 2 Combine like terms: -2 + 2 = 0 0 + x = 2.211083194 + 2 x = 2.211083194 + 2 Combine like terms: 2.211083194 + 2 = 4.211083194 x = 4.211083194 Simplifying x = 4.211083194

Subproblem 2

x + -2 = -2.211083194 Simplifying x + -2 = -2.211083194 Reorder the terms: -2 + x = -2.211083194 Solving -2 + x = -2.211083194 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 = -2.211083194 + 2 Combine like terms: -2 + 2 = 0 0 + x = -2.211083194 + 2 x = -2.211083194 + 2 Combine like terms: -2.211083194 + 2 = -0.211083194 x = -0.211083194 Simplifying x = -0.211083194

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.211083194, -0.211083194}

See similar equations:

| 5x+5=54+2x | | X-5-=26 | | y-2=-1.5(x-(-2)) | | 12x-27=8x+21 | | 85+(4x-6)=x+1 | | (-4)+-1(-2)=m | | 13-10x=35-17x | | 10-7x=90x-21 | | n+38=51 | | 86-4x=8-8x | | y-2=2.2(x-(-2)) | | 6x+5=85-4 | | 11x-10=9x+4whatisx | | 4x+9=-33-7x | | 12-9x=135-30x | | 5(3a+4b)=15a+20b | | 9n-11=52 | | 4x-7-3x=9-3x+32 | | x(x+2)+1=144 | | b-3=1 | | 4x+6=69-7x | | -3c+4d+8c-5d= | | 3m-5m-4n+7n= | | 3x+20=13x-6 | | 2(X+8)=16 | | 69x-4= | | 4p+2p-1= | | 2p+4p-1= | | 9u+3v+2u+4v= | | 6k+4k+3l= | | 4i+7i= | | 8x+2=9-6x |

Equations solver categories