-6x^2-12x-4=0

Simple and best practice solution for -6x^2-12x-4=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^2-12x-4=0 equation: 


Simplifying
-6x2 + -12x + -4 = 0

Reorder the terms:
-4 + -12x + -6x2 = 0

Solving
-4 + -12x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(2 + 6x + 3x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(2 + 6x + 3x2)' equal to zero and attempt to solve:

Simplifying
2 + 6x + 3x2 = 0

Solving
2 + 6x + 3x2 = 0

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

Divide each side by '3'.
0.6666666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 2x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 2x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 2x + x2 = 0 + -0.6666666667
2x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
2x + x2 = -0.6666666667

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -0.6666666667 + 1

Reorder the terms:
1 + 2x + x2 = -0.6666666667 + 1

Combine like terms: -0.6666666667 + 1 = 0.3333333333
1 + 2x + x2 = 0.3333333333

Factor a perfect square on the left side:
(x + 1)(x + 1) = 0.3333333333

Calculate the square root of the right side: 0.577350269

Break this problem into two subproblems by setting 
(x + 1) equal to 0.577350269 and -0.577350269.


Subproblem 1
x + 1 = 0.577350269

Simplifying
x + 1 = 0.577350269

Reorder the terms:
1 + x = 0.577350269

Solving
1 + x = 0.577350269

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 0.577350269 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0.577350269 + -1
x = 0.577350269 + -1

Combine like terms: 0.577350269 + -1 = -0.422649731
x = -0.422649731

Simplifying
x = -0.422649731


Subproblem 2
x + 1 = -0.577350269

Simplifying
x + 1 = -0.577350269

Reorder the terms:
1 + x = -0.577350269

Solving
1 + x = -0.577350269

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -0.577350269 + -1

Combine like terms: 1 + -1 = 0
0 + x = -0.577350269 + -1
x = -0.577350269 + -1

Combine like terms: -0.577350269 + -1 = -1.577350269
x = -1.577350269

Simplifying
x = -1.577350269


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.422649731, -1.577350269}
Solution
x = {-0.422649731, -1.577350269}

See similar equations:

| 10.2p=-51 | | -3c=-9+24 | | 3X+4Y+2Y= | | 7(4x-6)=6(8-3x) | | 8y+2=14+5y | | [(x+3)*2]+2x=48 | | y/3+5=y/2+7 | | r^3-3r^2+3r-1=0 | | 10(4c-1)-12=38c+10 | | 4-(3x-2)=15 | | Y^2=324 | | x/35=-46+23 | | 29+2y-7=12y-14-4y | | 0.267=1476*x+2x | | 4c^2-12c+9= | | 73x-6x=21x+16 | | t*(3+4k)=7s | | 5(2+c)=4(c-3) | | -7z+9=58 | | 42=2x+8 | | 5(y-2)=3y-24 | | -5=60 | | 2-7-9+12= | | n^2+n-110= | | 2x+10-9x=-(x+8)(x-2)+(x-2) | | c+6=12 | | t*(3+k)=7s | | 108-5x=22x+24 | | g(x)=-2x | | 4a-12=12a | | (n+10)(n-11)= | | a/3+2=a/2+8 |

Equations solver categories