9x(2x+2)(3x+1)=0

Simple and best practice solution for 9x(2x+2)(3x+1)=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 9x(2x+2)(3x+1)=0 equation: 


Simplifying
9x(2x + 2)(3x + 1) = 0

Reorder the terms:
9x(2 + 2x)(3x + 1) = 0

Reorder the terms:
9x(2 + 2x)(1 + 3x) = 0

Multiply (2 + 2x) * (1 + 3x)
9x(2(1 + 3x) + 2x * (1 + 3x)) = 0
9x((1 * 2 + 3x * 2) + 2x * (1 + 3x)) = 0
9x((2 + 6x) + 2x * (1 + 3x)) = 0
9x(2 + 6x + (1 * 2x + 3x * 2x)) = 0
9x(2 + 6x + (2x + 6x2)) = 0

Combine like terms: 6x + 2x = 8x
9x(2 + 8x + 6x2) = 0
(2 * 9x + 8x * 9x + 6x2 * 9x) = 0
(18x + 72x2 + 54x3) = 0

Solving
18x + 72x2 + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x'.
18x(1 + 4x + 3x2) = 0

Factor a trinomial.
18x((1 + x)(1 + 3x)) = 0

Ignore the factor 18.

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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 = 0 + -1

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

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

Simplifying
x = -1

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

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {0, -1, -0.3333333333}

See similar equations:

| 4x^2-35x+39=-8x+4 | | 9x(2x-2)(3x+1)=0 | | 15x-27x= | | 3/x^4 | | solvex^2-2x-5=x^3-2x^2-5x-9 | | y=1.7 | | 3n+4=61 | | 5s+34=99 | | 2x+4y-94=0 | | 7/10w-18=5/1/5w | | 7=79 | | 0+90*5+-30+-40*0+60= | | 0+50*1+-60+-60*0+20= | | 1/2x=x-13 | | 14x+12=x^2+2x | | 7x-3y=95 | | 7-a=4+2a | | x^3+y^3=80 | | x^2+30X=1.8 | | -(-2x)=(-46) | | -(-2x)=(-51) | | 6m+3n-2m+9m= | | y=8-0.6x | | -(-5x)=(-86) | | 3x(3x+14)=-49 | | 8z+1=6 | | -(-8x)=(-73) | | 7/12-2/15 | | 7/12-2/15/4/9 | | 7/12-2/15:4/9 | | 9x/12=76.50 | | 9x+54=18 |

Equations solver categories