4x(x-4)=12

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


Simplifying
4x(x + -4) = 12

Reorder the terms:
4x(-4 + x) = 12
(-4 * 4x + x * 4x) = 12
(-16x + 4x2) = 12

Solving
-16x + 4x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + -16x + 4x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -16x + 4x2 = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-3 + -4x + x2 = 0

Solving
-3 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -4x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + -4x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x + x2 = 0 + 3
-4x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4x + x2 = 3

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 = 3 + 4

Reorder the terms:
4 + -4x + x2 = 3 + 4

Combine like terms: 3 + 4 = 7
4 + -4x + x2 = 7

Factor a perfect square on the left side:
(x + -2)(x + -2) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(x + -2) equal to 2.645751311 and -2.645751311.


Subproblem 1
x + -2 = 2.645751311

Simplifying
x + -2 = 2.645751311

Reorder the terms:
-2 + x = 2.645751311

Solving
-2 + x = 2.645751311

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 = 2.645751311 + 2

Combine like terms: -2 + 2 = 0
0 + x = 2.645751311 + 2
x = 2.645751311 + 2

Combine like terms: 2.645751311 + 2 = 4.645751311
x = 4.645751311

Simplifying
x = 4.645751311


Subproblem 2
x + -2 = -2.645751311

Simplifying
x + -2 = -2.645751311

Reorder the terms:
-2 + x = -2.645751311

Solving
-2 + x = -2.645751311

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 = -2.645751311 + 2

Combine like terms: -2 + 2 = 0
0 + x = -2.645751311 + 2
x = -2.645751311 + 2

Combine like terms: -2.645751311 + 2 = -0.645751311
x = -0.645751311

Simplifying
x = -0.645751311


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.645751311, -0.645751311}
Solution
x = {4.645751311, -0.645751311}

See similar equations:

| 2(50-2)=x | | 4(x+2)=20-x | | (-x+7)-x=5x | | 4x(x+2)=20-x | | k/4+1=9 | | x-38=27 | | 2x=6+3x | | 5(x-1)= | | x/6=8 | | t^2+6t-15=0 | | 6x+x^2=9 | | x^2=6+x | | 10x-12=12x-10 | | 4x+2y=2x+4y-2 | | 8m=4.4 | | x^2-y^2+4x-4y=0 | | 16x-3x=3 | | x^2+y^2-2x-2y=0 | | 5t^2+t=0 | | tan(x)-3=-4 | | lnx+2=1 | | y+12=x^2+x | | lograizx=log(x-2) | | 15x+6y=18 | | x-1+45+63=180 | | y+6+51+74=180 | | -19+-8= | | 3w^2-3w-588=0 | | (-19)+(-8)= | | .05(.3m+35n)-.8(-9n-22m)=0 | | 2x+85=180 | | (8-v)(4v-2)=0 |

Equations solver categories