x(x+4)+x(x+2)=2x+12

Simple and best practice solution for x(x+4)+x(x+2)=2x+12 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+4)+x(x+2)=2x+12 equation:


Simplifying
x(x + 4) + x(x + 2) = 2x + 12

Reorder the terms:
x(4 + x) + x(x + 2) = 2x + 12
(4 * x + x * x) + x(x + 2) = 2x + 12
(4x + x2) + x(x + 2) = 2x + 12

Reorder the terms:
4x + x2 + x(2 + x) = 2x + 12
4x + x2 + (2 * x + x * x) = 2x + 12
4x + x2 + (2x + x2) = 2x + 12

Reorder the terms:
4x + 2x + x2 + x2 = 2x + 12

Combine like terms: 4x + 2x = 6x
6x + x2 + x2 = 2x + 12

Combine like terms: x2 + x2 = 2x2
6x + 2x2 = 2x + 12

Reorder the terms:
6x + 2x2 = 12 + 2x

Solving
6x + 2x2 = 12 + 2x

Solving for variable 'x'.

Reorder the terms:
-12 + 6x + -2x + 2x2 = 12 + 2x + -12 + -2x

Combine like terms: 6x + -2x = 4x
-12 + 4x + 2x2 = 12 + 2x + -12 + -2x

Reorder the terms:
-12 + 4x + 2x2 = 12 + -12 + 2x + -2x

Combine like terms: 12 + -12 = 0
-12 + 4x + 2x2 = 0 + 2x + -2x
-12 + 4x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
-6 + 2x + x2 = 0

Solving
-6 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 2x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + 2x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2x + x2 = 0 + 6
2x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
2x + x2 = 6

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 6 + 1

Reorder the terms:
1 + 2x + x2 = 6 + 1

Combine like terms: 6 + 1 = 7
1 + 2x + x2 = 7

Factor a perfect square on the left side:
(x + 1)(x + 1) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + 1) equal to 2.645751311 and -2.645751311.


Subproblem 1
x + 1 = 2.645751311

Simplifying
x + 1 = 2.645751311

Reorder the terms:
1 + x = 2.645751311

Solving
1 + x = 2.645751311

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 2.645751311 + -1

Combine like terms: 1 + -1 = 0
0 + x = 2.645751311 + -1
x = 2.645751311 + -1

Combine like terms: 2.645751311 + -1 = 1.645751311
x = 1.645751311

Simplifying
x = 1.645751311


Subproblem 2
x + 1 = -2.645751311

Simplifying
x + 1 = -2.645751311

Reorder the terms:
1 + x = -2.645751311

Solving
1 + x = -2.645751311

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -2.645751311 + -1

Combine like terms: 1 + -1 = 0
0 + x = -2.645751311 + -1
x = -2.645751311 + -1

Combine like terms: -2.645751311 + -1 = -3.645751311
x = -3.645751311

Simplifying
x = -3.645751311


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.645751311, -3.645751311}
Solution
x = {1.645751311, -3.645751311}

See similar equations:

| 0.3(n-18)=0.9n | | 0.7y-0.5y=6.6 | | 3.4x+4=2.4x | | x+5*-8=0 | | -2x+1=27 | | 2-I/2+5i=0 | | 33+15=3w-w+4w | | -116-6g=-32 | | 8-2x=2c | | 6z=17 | | 5y+35=0 | | 6x^2-32x+32=0 | | 47=-(x+11) | | 10x+1.7=-3.5 | | 4(m+3)+7=m+19 | | 2x+10=4x | | -15=.375(x+8) | | 9x-21=3(g-7)+6t | | 2X+8X-7X+10=22 | | 2.2x+1=3.2 | | 3(4k+14)=10x-2(g-7) | | 10v^2+4v-22=0 | | d-1=-13 | | 10v^2+4-22=0 | | 3(x+8)=9 | | 4x-4=-4 | | 8(9-x)=-72 | | 2y^2-16y+20=0 | | 1r^2-12r-133=0 | | g(12)=3x+6 | | 5r-3(r+6)=24 | | 4x+x-2=4x+6 |

Equations solver categories