0=x^2+3x+6

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


Simplifying
0 = x2 + 3x + 6

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

Solving
0 = 6 + 3x + x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -3x + -1x2 = 6 + 3x + x2 + -6 + -3x + -1x2

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

Combine like terms: 6 + -6 = 0
-6 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
-6 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-6 + -3x + -1x2 = 0 + x2 + -1x2
-6 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -3x + -1x2 = 0

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

Ignore the factor -1.

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

Simplifying
6 + 3x + x2 = 0

Solving
6 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -6 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3x + x2 = -3.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -3.75

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:

| -13x+(-11)=50 | | 9b+(-18)-3b+11=0 | | c/8-12=-1 | | 3x-7=9x-7x | | (7)/(15)x-(1)/(5)=4 | | 4-n-6n=0 | | 3x-3(4x+2)=-114 | | 26+c+17=-42 | | 6x+4=3-2 | | x^4+x^2-30=0 | | x^2-5.02x-5.57959=0 | | 5n-(-3n)+6=0 | | -6w+5= | | 2c-6+8c=34 | | (4x^8)(-5x^2)(4x^3)= | | -7n+2n+9=0 | | 8q=240 | | 3x=13-6x | | 17-s=-10 | | 5x+14=-9x | | 3(-4)+2y=9 | | 5(X-2)=6(X+3) | | 84-x=-7 | | s^2-2s+1-64t^2=0 | | 42=m+39 | | 11n+5+(-3n)+1=0 | | (x+7)(x^3-5x+6)= | | 7x-1/2(8x+4)=6 | | 15x^2-240=0 | | 3k=6 | | 6a-10=14 | | 9-n-4n=0 |

Equations solver categories