x^2+4x=-8

Simple and best practice solution for x^2+4x=-8 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+4x=-8 equation:


Simplifying
x2 + 4x = -8

Reorder the terms:
4x + x2 = -8

Solving
4x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 4x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 4x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4x + x2 = 0 + -8
4x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
4x + x2 = -8

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -8 + 4

Reorder the terms:
4 + 4x + x2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + 4x + x2 = -4

Factor a perfect square on the left side:
(x + 2)(x + 2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 12=k+3+7 | | 2x+3(x-4)=8 | | 5(1-3r)=65 | | 3t(4t-3)(3t-1)=0 | | 70=2(-1+6x) | | k=(30+3a)-(15-3a) | | -24=-2n-4n | | 10-7x=42-21x | | X+2+4=9 | | -94-9x=7x+18 | | x^2+kx+0.765625=0 | | (4b-20)(20b-4)=0 | | 192=16x | | 5x+11=-28-8x | | B-8=-21 | | 20n+6+5n-12+x+20= | | 4=20+r | | -16-2x=14-17x | | -16-2x=14-17x | | -104=-8x | | (5t-30)(30t-5)=0 | | X+(-1)=11 | | 9y-12=5y | | -21=v-4 | | 2x^2+6x-3=0 | | -2-2=x | | 5x-1=14x-73 | | -2-0=x | | -4=4n | | -12=n+(-12) | | (3r-12)(12r-3)=0 | | 4x+11=-73-8x |

Equations solver categories