2x(x+12)=32

Simple and best practice solution for 2x(x+12)=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 2x(x+12)=32 equation: 


Simplifying
2x(x + 12) = 32

Reorder the terms:
2x(12 + x) = 32
(12 * 2x + x * 2x) = 32
(24x + 2x2) = 32

Solving
24x + 2x2 = 32

Solving for variable 'x'.

Reorder the terms:
-32 + 24x + 2x2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + 24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 12x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
-16 + 12x + x2 = 0

Solving
-16 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + 12x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + 12x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 12x + x2 = 0 + 16
12x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
12x + x2 = 16

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = 16 + 36

Reorder the terms:
36 + 12x + x2 = 16 + 36

Combine like terms: 16 + 36 = 52
36 + 12x + x2 = 52

Factor a perfect square on the left side:
(x + 6)(x + 6) = 52

Calculate the square root of the right side: 7.211102551

Break this problem into two subproblems by setting 
(x + 6) equal to 7.211102551 and -7.211102551.


Subproblem 1
x + 6 = 7.211102551

Simplifying
x + 6 = 7.211102551

Reorder the terms:
6 + x = 7.211102551

Solving
6 + x = 7.211102551

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + x = 7.211102551 + -6

Combine like terms: 6 + -6 = 0
0 + x = 7.211102551 + -6
x = 7.211102551 + -6

Combine like terms: 7.211102551 + -6 = 1.211102551
x = 1.211102551

Simplifying
x = 1.211102551


Subproblem 2
x + 6 = -7.211102551

Simplifying
x + 6 = -7.211102551

Reorder the terms:
6 + x = -7.211102551

Solving
6 + x = -7.211102551

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + x = -7.211102551 + -6

Combine like terms: 6 + -6 = 0
0 + x = -7.211102551 + -6
x = -7.211102551 + -6

Combine like terms: -7.211102551 + -6 = -13.211102551
x = -13.211102551

Simplifying
x = -13.211102551


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.211102551, -13.211102551}
Solution
x = {1.211102551, -13.211102551}

See similar equations:

| 8t+3=35 | | (2x)(x+12)=32 | | 7x+1x-3=2(4x+4) | | -6w+42=-9(w-4) | | (-4/3)^2 | | (6x)(12x)=(6)(8) | | -8+3w=-29 | | 9(v+1)=7v+29 | | 6x=12x+30 | | 4(x-6)+4=6x | | -9x+5=-2(x-6) | | 12x+15y+-17x+8y= | | 12x+15y+-17+8y= | | X^2-140-12000=0 | | Ln(4x)=1.82 | | -4(-7+7r)=4(5r-5) | | 2x+3(x+1)=-7 | | Cos(62)=7/x | | -6(p+7)-8p=2p-2(1+4p) | | 5y-20=2(y-7) | | y=-2x+1 | | 30/70=w/$2.10 | | -2(y+9)=9y+37 | | 4x-28=-2(-2+2x) | | 8+(b+9)=(8+b)+9 | | 3x+5x-10=6 | | 79+2x=3x | | (1/9)x(1/3) | | -4(x-8)=x+22 | | 5=c+3 | | 2(-7m-2)=-7m-3 | | 9m-7=10 |

Equations solver categories