6x^2+96x+12=0

Simple and best practice solution for 6x^2+96x+12=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 6x^2+96x+12=0 equation: 


Simplifying
6x2 + 96x + 12 = 0

Reorder the terms:
12 + 96x + 6x2 = 0

Solving
12 + 96x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + 16x + x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(2 + 16x + x2)' equal to zero and attempt to solve:

Simplifying
2 + 16x + x2 = 0

Solving
2 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 16x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 16x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 16x + x2 = 0 + -2
16x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
16x + x2 = -2

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -2 + 64

Reorder the terms:
64 + 16x + x2 = -2 + 64

Combine like terms: -2 + 64 = 62
64 + 16x + x2 = 62

Factor a perfect square on the left side:
(x + 8)(x + 8) = 62

Calculate the square root of the right side: 7.874007874

Break this problem into two subproblems by setting 
(x + 8) equal to 7.874007874 and -7.874007874.


Subproblem 1
x + 8 = 7.874007874

Simplifying
x + 8 = 7.874007874

Reorder the terms:
8 + x = 7.874007874

Solving
8 + x = 7.874007874

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = 7.874007874 + -8

Combine like terms: 8 + -8 = 0
0 + x = 7.874007874 + -8
x = 7.874007874 + -8

Combine like terms: 7.874007874 + -8 = -0.125992126
x = -0.125992126

Simplifying
x = -0.125992126


Subproblem 2
x + 8 = -7.874007874

Simplifying
x + 8 = -7.874007874

Reorder the terms:
8 + x = -7.874007874

Solving
8 + x = -7.874007874

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = -7.874007874 + -8

Combine like terms: 8 + -8 = 0
0 + x = -7.874007874 + -8
x = -7.874007874 + -8

Combine like terms: -7.874007874 + -8 = -15.874007874
x = -15.874007874

Simplifying
x = -15.874007874


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.125992126, -15.874007874}
Solution
x = {-0.125992126, -15.874007874}

See similar equations:

| 2n+39=84 | | 5x=2(5x)-28 | | 4c-37=54 | | 2*n=8 | | r+2.1=-5.1 | | 2x+10+2x=-1 | | 15-2n=-3 | | b^2=2b-1 | | (8r-1)(r-7)=0 | | 0.06*7= | | w^2-4x+4=480 | | r-5.4=-7.6 | | 8(3+5x)+7x+4x= | | -9+7=m-3 | | 4(-9)= | | n+10n=132 | | 12+6j=j+3 | | 8x+9=26x | | (2x^2-11x-40)=0 | | w^2-4x-480=0 | | n-18=-16 | | -2=11+x | | 18x^2-17x=6x^2+5 | | 30+6x=49+21x+3 | | 4-2n=4 | | x-3*12x=0 | | 3(5x+2)-(-8x-3)= | | f(x)=3x^5-10x^3+15X | | X^2+y^2-4x+8y-5=0 | | s-9=4 | | x^2-7x=-8x+72 | | 85/200=x/100 |

Equations solver categories