2(x(x+4))=32

Simple and best practice solution for 2(x(x+4))=32 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 2(x(x+4))=32 equation: 


Simplifying
2(x(x + 4)) = 32

Reorder the terms:
2(x(4 + x)) = 32
2((4 * x + x * x)) = 32
2((4x + x2)) = 32
(4x * 2 + x2 * 2) = 32
(8x + 2x2) = 32

Solving
8x + 2x2 = 32

Solving for variable 'x'.

Reorder the terms:
-32 + 8x + 2x2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-16 + 4x + x2 = 0

Solving
-16 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + 4x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + 4x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 4x + x2 = 0 + 16
4x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
4x + x2 = 16

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 = 16 + 4

Reorder the terms:
4 + 4x + x2 = 16 + 4

Combine like terms: 16 + 4 = 20
4 + 4x + x2 = 20

Factor a perfect square on the left side:
(x + 2)(x + 2) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + 2) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + 2 = 4.472135955

Simplifying
x + 2 = 4.472135955

Reorder the terms:
2 + x = 4.472135955

Solving
2 + x = 4.472135955

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 4.472135955 + -2

Combine like terms: 2 + -2 = 0
0 + x = 4.472135955 + -2
x = 4.472135955 + -2

Combine like terms: 4.472135955 + -2 = 2.472135955
x = 2.472135955

Simplifying
x = 2.472135955


Subproblem 2
x + 2 = -4.472135955

Simplifying
x + 2 = -4.472135955

Reorder the terms:
2 + x = -4.472135955

Solving
2 + x = -4.472135955

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -4.472135955 + -2

Combine like terms: 2 + -2 = 0
0 + x = -4.472135955 + -2
x = -4.472135955 + -2

Combine like terms: -4.472135955 + -2 = -6.472135955
x = -6.472135955

Simplifying
x = -6.472135955


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.472135955, -6.472135955}
Solution
x = {2.472135955, -6.472135955}

See similar equations:

| x=-7/10(7)+7 | | 4(x(2)-1)=8x | | 25.1*3.5= | | 1/2x+1/4 | | 6+15/5x2x10 | | x^3/10/x^-1/5x^2 | | x+3/11=7/11 | | 13(v+2)-4v=3(3v+4)-21 | | (2x^3-5x^2+7x)(-x^3y)= | | 15x^2-45x/12x^2-36x | | 13-5x/6-4/6=10x-8 | | 7/2x+1/2x=4x+20/2+5/2 | | -5/36-4/6x | | .45(24)+.05x=.15(6+x) | | 6x/x+4+2/x-4 | | 3x^2+3x+4=0 | | 6x/x+4+2/x_4 | | 1/9(y+1/5)=4/5(y+1/5) | | 3y+5=5y-13 | | 3(2x-1)=4 | | 13-5x/13-4/13=10x-8 | | 1/(x-1)+8/(x+1)=4/((X^2)-1) | | 1/(x-1)+8/(x+1)=4/(X^2-1) | | 9/5x+1/2x=-1/10 | | -1/4x=-4 | | .54(6)+.06x=.18(18+x) | | -8/9+p=-10/3 | | 2/3(6x+12)=-2 | | 8x^2+26=7 | | k/4-k-4/8=9/8 | | -2(-3x-5)=-9 | | 2x*4=7x-4/7 |

Equations solver categories