-x^2-6x-3=0

Simple and best practice solution for -x^2-6x-3=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 -x^2-6x-3=0 equation: 


Simplifying
-1x2 + -6x + -3 = 0

Reorder the terms:
-3 + -6x + -1x2 = 0

Solving
-3 + -6x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 6x + x2) = 0

Ignore the factor -1.

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

Simplifying
3 + 6x + x2 = 0

Solving
3 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 6x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 6x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 6x + x2 = 0 + -3
6x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
6x + x2 = -3

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -3 + 9

Reorder the terms:
9 + 6x + x2 = -3 + 9

Combine like terms: -3 + 9 = 6
9 + 6x + x2 = 6

Factor a perfect square on the left side:
(x + 3)(x + 3) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x + 3) equal to 2.449489743 and -2.449489743.


Subproblem 1
x + 3 = 2.449489743

Simplifying
x + 3 = 2.449489743

Reorder the terms:
3 + x = 2.449489743

Solving
3 + x = 2.449489743

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = 2.449489743 + -3

Combine like terms: 3 + -3 = 0
0 + x = 2.449489743 + -3
x = 2.449489743 + -3

Combine like terms: 2.449489743 + -3 = -0.550510257
x = -0.550510257

Simplifying
x = -0.550510257


Subproblem 2
x + 3 = -2.449489743

Simplifying
x + 3 = -2.449489743

Reorder the terms:
3 + x = -2.449489743

Solving
3 + x = -2.449489743

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = -2.449489743 + -3

Combine like terms: 3 + -3 = 0
0 + x = -2.449489743 + -3
x = -2.449489743 + -3

Combine like terms: -2.449489743 + -3 = -5.449489743
x = -5.449489743

Simplifying
x = -5.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.550510257, -5.449489743}
Solution
x = {-0.550510257, -5.449489743}

See similar equations:

| 5a+6o=8.50 | | 27=-5c+8c | | -5u+6+u+4= | | 2x+2x=14 | | f(3)=25(3)+8 | | b+5=6b | | A^2-10A+23=0 | | 1+(-4)+(-x)-4-(-1)=-x+(-2)-4 | | x^2+44x+306=0 | | 89+x=2-3x | | 4x+33=11x-86 | | -4b+1+2b=5 | | W+90=l | | 6g+2h=34 | | 18=(6-3x) | | -2-10=44+8x | | 7x+6x-72=54-5x | | f(0)=25(0)+8 | | 2n+2(n+44)= | | 6x^2+14x-20=0 | | 10a+15o=20 | | 48-n=4(7n) | | I=p(r*t) | | (8m-4)(5.5)= | | -9=7k-5 | | g+4h=-9 | | 3+2(x-9)=12-7 | | 9=-4(x)+19 | | 5g+4(-5+39)=1-g | | -15-2x=16+(-3x+9) | | y-2=0.5(x+2) | | 3x-38-x+2=0 |

Equations solver categories