x(3x+4)(6x+1)=0

Simple and best practice solution for x(3x+4)(6x+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 x(3x+4)(6x+1)=0 equation: 


Simplifying
x(3x + 4)(6x + 1) = 0

Reorder the terms:
x(4 + 3x)(6x + 1) = 0

Reorder the terms:
x(4 + 3x)(1 + 6x) = 0

Multiply (4 + 3x) * (1 + 6x)
x(4(1 + 6x) + 3x * (1 + 6x)) = 0
x((1 * 4 + 6x * 4) + 3x * (1 + 6x)) = 0
x((4 + 24x) + 3x * (1 + 6x)) = 0
x(4 + 24x + (1 * 3x + 6x * 3x)) = 0
x(4 + 24x + (3x + 18x2)) = 0

Combine like terms: 24x + 3x = 27x
x(4 + 27x + 18x2) = 0
(4 * x + 27x * x + 18x2 * x) = 0
(4x + 27x2 + 18x3) = 0

Solving
4x + 27x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + 27x + 18x2) = 0

Factor a trinomial.
x((4 + 3x)(1 + 6x)) = 0


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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 3
Set the factor '(1 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {0, -1.333333333, -0.1666666667}

See similar equations:

| (14x^3-4x^2-3)-(9x^2+6x-2)= | | 30=2-4 | | -16x^2+42x+6=26 | | 9-3(n-5)=-10 | | 16x^2-42x+6=26 | | 3×12/3 | | -4.9x^2+32x+0.2=0 | | (9x^4+5x^2-2)+(3x^3+3)= | | 64s^2+112s+49= | | 64s^2-60s+25= | | 6x+30+x-10=11x-12 | | (x^2-1)(5x+2)=0 | | 19x+2.4=5 | | 19+2.4=5 | | (x-355)+(x)+(80+2x)=2425 | | 4=8m+1 | | logb(x-1)+logb(3)=logb(x) | | 2(x+4)=-18 | | 12x^2-42x+6=26 | | 14-6y=44 | | 16x^2-42x+6=0 | | 7x+2-10x=14 | | X^2+56=15 | | 4-3m=28m | | 1/4x-3=-2 | | -5w^2=-7w+5 | | 5/8=45/x | | -7x-3=13-3x | | -6x+18=-(4x+9) | | -5w^2=-(7w-5) | | 6.8=-logarithym(x) | | 9v^2-18v=-7 |

Equations solver categories