x(x+6)+13=0

Simple and best practice solution for x(x+6)+13=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(x+6)+13=0 equation:


Simplifying
x(x + 6) + 13 = 0

Reorder the terms:
x(6 + x) + 13 = 0
(6 * x + x * x) + 13 = 0
(6x + x2) + 13 = 0

Reorder the terms:
13 + 6x + x2 = 0

Solving
13 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 6x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + 6x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6x + x2 = 0 + -13
6x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
6x + x2 = -13

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 = -13 + 9

Reorder the terms:
9 + 6x + x2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + 6x + x2 = -4

Factor a perfect square on the left side:
(x + 3)(x + 3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| x+x+x+2=21 | | 9m=-18+3m | | (3x-1)=4 | | 4x^2+40x=156 | | 56=3x^2+2x | | n=58 | | -5(v-8)=-8v+16 | | 2h+3k=-14 | | 4x+y=2662 | | 15=3(u+3)-5u | | x+x+x+2+1=21 | | 2(5x-1)=24x | | 2Y-5X=28 | | 2h+3h=-14 | | 6x+30x+36=0 | | -10=2+2x | | 9x-13=42 | | 5(2x+1)=3-2(x-2) | | -31=5x-6 | | 11x+7=95 | | 19-x=163 | | 4x+6=15y | | 11x-3y-21=0 | | 3x-5y+30=0 | | 9z-6=4 | | 9m=20+5m | | 2x-x+9+3-2=16 | | x=5x+150 | | -6(3x-2)=4(-3-2x) | | 12=-2v | | n+50=43 | | 9(4x-6)=99x |

Equations solver categories