x(2x-3)(6x-1)=

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Solution for x(2x-3)(6x-1)= equation: 


Simplifying
x(2x + -3)(6x + -1) = 0

Reorder the terms:
x(-3 + 2x)(6x + -1) = 0

Reorder the terms:
x(-3 + 2x)(-1 + 6x) = 0

Multiply (-3 + 2x) * (-1 + 6x)
x(-3(-1 + 6x) + 2x * (-1 + 6x)) = 0
x((-1 * -3 + 6x * -3) + 2x * (-1 + 6x)) = 0
x((3 + -18x) + 2x * (-1 + 6x)) = 0
x(3 + -18x + (-1 * 2x + 6x * 2x)) = 0
x(3 + -18x + (-2x + 12x2)) = 0

Combine like terms: -18x + -2x = -20x
x(3 + -20x + 12x2) = 0
(3 * x + -20x * x + 12x2 * x) = 0
(3x + -20x2 + 12x3) = 0

Solving
3x + -20x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -20x + 12x2) = 0

Factor a trinomial.
x((1 + -6x)(3 + -2x)) = 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 '(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

Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, 0.1666666667, 1.5}

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