3(x+2)2x-4=

Simple and best practice solution for 3(x+2)2x-4= 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 3(x+2)2x-4= equation: 


Simplifying
3(x + 2) * 2x + -4 = 0

Reorder the terms:
3(2 + x) * 2x + -4 = 0

Reorder the terms for easier multiplication:
3 * 2x(2 + x) + -4 = 0

Multiply 3 * 2
6x(2 + x) + -4 = 0
(2 * 6x + x * 6x) + -4 = 0
(12x + 6x2) + -4 = 0

Reorder the terms:
-4 + 12x + 6x2 = 0

Solving
-4 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 6x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 6x + 3x2)' equal to zero and attempt to solve:

Simplifying
-2 + 6x + 3x2 = 0

Solving
-2 + 6x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-0.6666666667 + 2x + x2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 2x + 0.6666666667 + x2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 2x + x2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 2x + x2 = 0 + 0.6666666667
2x + x2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
2x + x2 = 0.6666666667

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 = 0.6666666667 + 1

Reorder the terms:
1 + 2x + x2 = 0.6666666667 + 1

Combine like terms: 0.6666666667 + 1 = 1.6666666667
1 + 2x + x2 = 1.6666666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = 1.6666666667

Calculate the square root of the right side: 1.290994449

Break this problem into two subproblems by setting 
(x + 1) equal to 1.290994449 and -1.290994449.


Subproblem 1
x + 1 = 1.290994449

Simplifying
x + 1 = 1.290994449

Reorder the terms:
1 + x = 1.290994449

Solving
1 + x = 1.290994449

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 = 1.290994449 + -1

Combine like terms: 1 + -1 = 0
0 + x = 1.290994449 + -1
x = 1.290994449 + -1

Combine like terms: 1.290994449 + -1 = 0.290994449
x = 0.290994449

Simplifying
x = 0.290994449


Subproblem 2
x + 1 = -1.290994449

Simplifying
x + 1 = -1.290994449

Reorder the terms:
1 + x = -1.290994449

Solving
1 + x = -1.290994449

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 = -1.290994449 + -1

Combine like terms: 1 + -1 = 0
0 + x = -1.290994449 + -1
x = -1.290994449 + -1

Combine like terms: -1.290994449 + -1 = -2.290994449
x = -2.290994449

Simplifying
x = -2.290994449


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.290994449, -2.290994449}
Solution
x = {0.290994449, -2.290994449}

See similar equations:

| -31-8b=-7(b+4) | | 7(6+4x)+8x=114 | | 8x+5-2x=11+7x-x | | 5n+1=16 | | 11x+2=14-10 | | 3+4r/3=-5r/3-(2r+2) | | -4(n+1)-2n=8n-4 | | -5f-6f=33 | | 4(-6+5n)=-104 | | 2f^3-20f^2+18f=0 | | 6x4/3+2 | | 12(4+x)=6(2x+8) | | -500/25 | | (x-44)+x=180 | | 2(-7k+8)=128 | | 15a^2-26a+8=0 | | x/5.2+81.9=47.2 | | 16+5b+3b+3= | | -88/-8 | | (15y-35)+8=(3x-9)+8 | | 7x-10=3(x-2)+4(x+1) | | 10n=0.33 | | 7(1-4r)+2=177 | | -126/9 | | 3(4+7x)=180 | | 84/-7 | | -x-9=-2x-1 | | 90/-2 | | 7a+6=41 | | -1/3(6a+3)=6 | | 2p+3(2+6p)=166 | | -7(2v+2)=-112 |

Equations solver categories