6+6x(x+8)=

Simple and best practice solution for 6+6x(x+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 6+6x(x+8)= equation: 


Simplifying
6 + 6x(x + 8) = 0

Reorder the terms:
6 + 6x(8 + x) = 0
6 + (8 * 6x + x * 6x) = 0
6 + (48x + 6x2) = 0

Solving
6 + 48x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + 8x + x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(1 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
1 + 8x + x2 = 0

Solving
1 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 8x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 8x + x2 = 0 + -1

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

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

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -1 + 16

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

Combine like terms: -1 + 16 = 15
16 + 8x + x2 = 15

Factor a perfect square on the left side:
(x + 4)(x + 4) = 15

Calculate the square root of the right side: 3.872983346

Break this problem into two subproblems by setting 
(x + 4) equal to 3.872983346 and -3.872983346.


Subproblem 1
x + 4 = 3.872983346

Simplifying
x + 4 = 3.872983346

Reorder the terms:
4 + x = 3.872983346

Solving
4 + x = 3.872983346

Solving for variable 'x'.

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 = 3.872983346 + -4

Combine like terms: 4 + -4 = 0
0 + x = 3.872983346 + -4
x = 3.872983346 + -4

Combine like terms: 3.872983346 + -4 = -0.127016654
x = -0.127016654

Simplifying
x = -0.127016654


Subproblem 2
x + 4 = -3.872983346

Simplifying
x + 4 = -3.872983346

Reorder the terms:
4 + x = -3.872983346

Solving
4 + x = -3.872983346

Solving for variable 'x'.

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 = -3.872983346 + -4

Combine like terms: 4 + -4 = 0
0 + x = -3.872983346 + -4
x = -3.872983346 + -4

Combine like terms: -3.872983346 + -4 = -7.872983346
x = -7.872983346

Simplifying
x = -7.872983346


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.127016654, -7.872983346}
Solution
x = {-0.127016654, -7.872983346}

See similar equations:

| 5(9-11)=m-8 | | 2y=2y+40 | | -k+3=-4 | | 8m=-64 | | 4y+40=10y-20 | | U^2=15u+36 | | 21-42=3(x-2)-6 | | -2+8+n=-7+9 | | 2y-4x=8forx | | -2+8=-7+9 | | 10c^2-8c= | | 4x+20=48 | | 425-c=152 | | -15(z-899)=-930 | | 6a-42=2a-a | | -16+3+m=-7+17 | | -13(j-968)+125=385 | | -z/12=5 | | 4w^2-5=9w | | 4m+5(m+2)=1 | | 8x-(4x+8)=8 | | dx+g=0 | | 3x+-2y=zfory | | 3r=-45 | | -0.6+0.5x+4=5 | | 5(x+2)+4x=55 | | 2m-9m=12 | | 3m^2-18=0 | | 25(b+826)-804=-29 | | P=120-0.03x | | 3r+11s= | | 5N(-8+4T)= |

Equations solver categories