6x^2+62x+192=0

Simple and best practice solution for 6x^2+62x+192=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+62x+192=0 equation: 


Simplifying
6x2 + 62x + 192 = 0

Reorder the terms:
192 + 62x + 6x2 = 0

Solving
192 + 62x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(96 + 31x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(96 + 31x + 3x2)' equal to zero and attempt to solve:

Simplifying
96 + 31x + 3x2 = 0

Solving
96 + 31x + 3x2 = 0

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

Divide each side by '3'.
32 + 10.33333333x + x2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + 10.33333333x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + 10.33333333x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 10.33333333x + x2 = 0 + -32
10.33333333x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
10.33333333x + x2 = -32

The x term is 10.33333333x.  Take half its coefficient (5.166666665).
Square it (26.69444443) and add it to both sides.

Add '26.69444443' to each side of the equation.
10.33333333x + 26.69444443 + x2 = -32 + 26.69444443

Reorder the terms:
26.69444443 + 10.33333333x + x2 = -32 + 26.69444443

Combine like terms: -32 + 26.69444443 = -5.30555557
26.69444443 + 10.33333333x + x2 = -5.30555557

Factor a perfect square on the left side:
(x + 5.166666665)(x + 5.166666665) = -5.30555557

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 3c-11=-9.5 | | Z^2-0.9025=0 | | A=67*58 | | (x^2-x-12)(5x+7)=0 | | 17-5=-10/4 | | (f(3x^3)-f(3a^3))/(x-a) | | 5=49 | | -3.04*2.4= | | 2x+4=5z-(8) | | =13xy+13xy | | 42x/29 | | 5/127/12 | | 8n-22=9n+33-n | | 42x/29*23/21 | | 8n-33=9n+33-n | | 5/12/7/9 | | 5/12|7/9 | | 2x+20+x^2=180 | | 3|3/7 | | iz^2-2z+iz=2i | | 15x^8-9x^2+18x= | | 4z=z+39 | | -2x^2+34=0 | | 3z=13-31 | | 0.009(9-k)+0.06(k-8)=1 | | 6(3x-8)=4(7x+8) | | 11-?=11/7 | | -x^2+4x+117=0 | | -7x+8=4x+19 | | 4x-(7)=2x-(1) | | (2g-1)(2g-1)= | | x^2-4x+93=0 |

Equations solver categories