x^2+6x+8=-x^2-8x-16

Simple and best practice solution for x^2+6x+8=-x^2-8x-16 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+8=-x^2-8x-16 equation: 


Simplifying
x2 + 6x + 8 = -1x2 + -8x + -16

Reorder the terms:
8 + 6x + x2 = -1x2 + -8x + -16

Reorder the terms:
8 + 6x + x2 = -16 + -8x + -1x2

Solving
8 + 6x + x2 = -16 + -8x + -1x2

Solving for variable 'x'.

Reorder the terms:
8 + 16 + 6x + 8x + x2 + x2 = -16 + -8x + -1x2 + 16 + 8x + x2

Combine like terms: 8 + 16 = 24
24 + 6x + 8x + x2 + x2 = -16 + -8x + -1x2 + 16 + 8x + x2

Combine like terms: 6x + 8x = 14x
24 + 14x + x2 + x2 = -16 + -8x + -1x2 + 16 + 8x + x2

Combine like terms: x2 + x2 = 2x2
24 + 14x + 2x2 = -16 + -8x + -1x2 + 16 + 8x + x2

Reorder the terms:
24 + 14x + 2x2 = -16 + 16 + -8x + 8x + -1x2 + x2

Combine like terms: -16 + 16 = 0
24 + 14x + 2x2 = 0 + -8x + 8x + -1x2 + x2
24 + 14x + 2x2 = -8x + 8x + -1x2 + x2

Combine like terms: -8x + 8x = 0
24 + 14x + 2x2 = 0 + -1x2 + x2
24 + 14x + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
24 + 14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 7x + x2) = 0

Factor a trinomial.
2((4 + x)(3 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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 = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {-4, -3}

See similar equations:

| 5m^2+24mn+16n^2= | | 0.9(5x+4)=0.45(x+7)-0.93 | | 10+5x=7x-10 | | 4.4y=-3.52 | | n-37/10=81/2 | | (6+2x)+(3x-17)=180 | | 10x-6=5x^2 | | log(x)+log(x-15)=log(12x) | | n-7/10=81/2 | | C/2=31 | | 5/6b+8=11 | | 63=-6x-x | | 2x+2/3(2/3+2/4)=4 | | 1.4x-2.8=0.6x-4.48 | | 0.9x=-14.4 | | 2x+2/3(2/3+2/3)=4 | | 3x-1/9+x=3x+1/3+3 | | 7+5b=23 | | 2=.000042t^2-.000140t+.824000 | | 3+g=1/4 | | 7+5b=-223 | | 49s^2+122s=-64 | | 4(a-6)=(w+1) | | -1/2x=-9/10 | | 4t-(1-t)=2(3t-4)-1 | | 2a^2+a+6=0 | | 2x+2/3=4 | | 6x+x+5x=180 | | 8x+1=x-5 | | (4l+60)+(l+20)=90 | | x^2-x-78=0 | | x^2+18x+7=0 |

Equations solver categories