x^2+6*x+9=-4

Simple and best practice solution for x^2+6*x+9=-4 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+6*x+9=-4 equation:


Simplifying
x2 + 6x + 9 = -4

Reorder the terms:
9 + 6x + x2 = -4

Solving
9 + 6x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
9 + 4 + 6x + x2 = -4 + 4

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

Combine like terms: -4 + 4 = 0
13 + 6x + x2 = 0

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:

| 2b+2b= | | 3.2y+6=1.2 | | -9n-8g=0whatsn | | 13p+19q+p-3q-6p= | | 5x+3a=7x+9a | | -9n-8g=0 | | 7x+2=x+10 | | 7x+3y=7z | | 9-4(3x-1)=11-14x | | 3x+5=6x-8 | | 5p+4=6p-10 | | 5x^2-27x+36=0 | | 7z+9=4z | | (11b-3)-5(2b+3)=-7 | | 9+y=4y | | 3(x-3)+4=4 | | 5n+7=7n+1 | | 5(2x+3)=49 | | 4x+6=5-(6x-6) | | (3x-1)(2-x)=2(x-1) | | 3y-5=2y+11 | | 3d+14=7e-4d | | 4(3a-2)+6(2a-3)= | | 3(5x+2)=28 | | 5(x+2)+4=-11 | | 4m+10=18 | | 56=(0.5)(7)t | | 2(6-6x)+9=21-14x | | 9(a+3)+11(a-2)= | | 6(3x-1)-9=8x-55 | | 5(6a+5)-2(3a+8)= | | mx=3m+2+x |

Equations solver categories