12x(x^2-4x-3)=0

Simple and best practice solution for 12x(x^2-4x-3)=0 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 12x(x^2-4x-3)=0 equation: 


Simplifying
12x(x2 + -4x + -3) = 0

Reorder the terms:
12x(-3 + -4x + x2) = 0
(-3 * 12x + -4x * 12x + x2 * 12x) = 0
(-36x + -48x2 + 12x3) = 0

Solving
-36x + -48x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-3 + -4x + x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 = {0, 4.645751311, -0.645751311}

See similar equations:

| 2ax+4b=b-a | | (5+x)+6=14 | | w-1-2=5-8 | | -5(1+2x)=9-3x | | 15-3a=-4+16 | | 2r+1b=1a | | 3(t)=4t^4-3t^3+2t-1 | | 8(1-5x)=-7x+8 | | 8x=9x+17 | | -6=-6(3+p) | | 7-5n=2+5(4n-4) | | x-(-28)=150 | | 108+100-16m=101-4m-33+3m | | 2x-5(x+1)=3-2(3x-2) | | (X+3)(x+2)=(x)(x+1)+46 | | 0.3n-6=-6 | | 2(3m-2)=4m-10 | | 3bx-2a=5b-x | | 11x=-20 | | 30+4+-60m+256=39+-12m+-18m+14 | | 63+12= | | 3x+1=9x+25 | | 3x^4-2x+12=0 | | 9-5x=21+x | | -2y+3x=18 | | 1.1x-0.9=2.22 | | -5=5(k+2) | | 4-2(n-4)=-12+n | | 7[x+1]+2=3 | | 120=16x(x) | | 4x=2(2-x) | | -3r-21=-(r+3)-2 |

Equations solver categories