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

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


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

Reorder the terms:
3x(-3 + -4x + x2) = 0
(-3 * 3x + -4x * 3x + x2 * 3x) = 0
(-9x + -12x2 + 3x3) = 0

Solving
-9x + -12x2 + 3x3 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

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:

| 5r-6r=0 | | 7x+21=42+4x | | 2x+3x=91 | | 1.25=2E-05x+0.002 | | X+25+x+y=200 | | 2x=6+(18) | | 45-2x=6x-3 | | 53=35-3(x-4) | | x+7y=-63 | | 4x-5=19-2x | | 4y+13=108-y | | 4(3x-9)-3=4(x-4)+1 | | -n^2+14n+72=0 | | 4x-(3x+9)=3x-41 | | (x^4y^5)^3/x^2y^5 | | 5-a=10-2a | | 4y-7=15y+92 | | 7x-7=4x+41 | | 2x-6+2x+8=180 | | 200e^350=0.08x | | X+(25+x)+y=200 | | 8y+24=6y | | 7x^2+12x=5 | | 2(5s+7)-4s=3(2s+2)-7 | | 10x-35=5x+15 | | 3(9s+1)-17s=2(5s+6)-17 | | 112/427 | | 4x+8x-11x= | | 3/4=(2x-8)/(3x-13) | | [10-2x]=[x+4] | | .75=(2x-8)/(3x-13) | | -1/4x=5 |

Equations solver categories