3x(x-4)=48

Simple and best practice solution for 3x(x-4)=48 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 3x(x-4)=48 equation: 


Simplifying
3x(x + -4) = 48

Reorder the terms:
3x(-4 + x) = 48
(-4 * 3x + x * 3x) = 48
(-12x + 3x2) = 48

Solving
-12x + 3x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + -12x + 3x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + -4x + x2) = 0

Ignore the factor 3.

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 = 6.472135955
x = 6.472135955

Simplifying
x = 6.472135955


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 = -2.472135955
x = -2.472135955

Simplifying
x = -2.472135955


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

See similar equations:

| (4a+3b)(4a-7b)= | | 14+x-28=6+174 | | (9x-6)(3x+9)= | | -2/3b=-3/2 | | 14+-28=6+174 | | (10/x)-(12/x-3)+4=0 | | 3(x^2-14)=0 | | 5(y-1)=4y+14 | | x^2-10+4x+11=180 | | 5y-1=4y+14 | | 1/2x^2-24 | | 5y-1=0 | | p-5u/5=g | | 1/3(12z+18z^2) | | 5x+10(x+10)+25(x+14)=770 | | 51.56-29.28x=-47.78x-68.2 | | .06a+.12(a+500)=186 | | 15-3x=x+3 | | 8d+2d= | | 4y-(y+3)=-18 | | 5(t-2)=4(t+4) | | 2/5?3/4= | | 1/98(75^2) | | 10x+2=4(2x+1)-x+9 | | 1/3/4+5/2/5= | | (-32/5)(11/16)(1/22)= | | 5/4x+1/4x=11/4+x | | 15-7p-16=7p+29-4p | | 5/4+1/2 | | 4/7x=3/4 | | 3/8/9+8/3/4= | | 3x+6y-4z=11 |

Equations solver categories