(X-3)(4x^2+7x)(6x-1)=0

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Solution for (X-3)(4x^2+7x)(6x-1)=0 equation: 


Simplifying
(X + -3)(4x2 + 7x)(6x + -1) = 0

Reorder the terms:
(-3 + X)(4x2 + 7x)(6x + -1) = 0

Reorder the terms:
(-3 + X)(7x + 4x2)(6x + -1) = 0

Reorder the terms:
(-3 + X)(7x + 4x2)(-1 + 6x) = 0

Multiply (-3 + X) * (7x + 4x2)
(-3(7x + 4x2) + X(7x + 4x2))(-1 + 6x) = 0
((7x * -3 + 4x2 * -3) + X(7x + 4x2))(-1 + 6x) = 0
((-21x + -12x2) + X(7x + 4x2))(-1 + 6x) = 0
(-21x + -12x2 + (7x * X + 4x2 * X))(-1 + 6x) = 0
(-21x + -12x2 + (7xX + 4x2X))(-1 + 6x) = 0

Reorder the terms:
(-21x + 7xX + -12x2 + 4x2X)(-1 + 6x) = 0
(-21x + 7xX + -12x2 + 4x2X)(-1 + 6x) = 0

Multiply (-21x + 7xX + -12x2 + 4x2X) * (-1 + 6x)
(-21x * (-1 + 6x) + 7xX * (-1 + 6x) + -12x2 * (-1 + 6x) + 4x2X * (-1 + 6x)) = 0
((-1 * -21x + 6x * -21x) + 7xX * (-1 + 6x) + -12x2 * (-1 + 6x) + 4x2X * (-1 + 6x)) = 0
((21x + -126x2) + 7xX * (-1 + 6x) + -12x2 * (-1 + 6x) + 4x2X * (-1 + 6x)) = 0
(21x + -126x2 + (-1 * 7xX + 6x * 7xX) + -12x2 * (-1 + 6x) + 4x2X * (-1 + 6x)) = 0
(21x + -126x2 + (-7xX + 42x2X) + -12x2 * (-1 + 6x) + 4x2X * (-1 + 6x)) = 0
(21x + -126x2 + -7xX + 42x2X + (-1 * -12x2 + 6x * -12x2) + 4x2X * (-1 + 6x)) = 0
(21x + -126x2 + -7xX + 42x2X + (12x2 + -72x3) + 4x2X * (-1 + 6x)) = 0
(21x + -126x2 + -7xX + 42x2X + 12x2 + -72x3 + (-1 * 4x2X + 6x * 4x2X)) = 0
(21x + -126x2 + -7xX + 42x2X + 12x2 + -72x3 + (-4x2X + 24x3X)) = 0

Reorder the terms:
(21x + -7xX + -126x2 + 12x2 + 42x2X + -4x2X + -72x3 + 24x3X) = 0

Combine like terms: -126x2 + 12x2 = -114x2
(21x + -7xX + -114x2 + 42x2X + -4x2X + -72x3 + 24x3X) = 0

Combine like terms: 42x2X + -4x2X = 38x2X
(21x + -7xX + -114x2 + 38x2X + -72x3 + 24x3X) = 0

Solving
21x + -7xX + -114x2 + 38x2X + -72x3 + 24x3X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(21 + -7X + -114x + 38xX + -72x2 + 24x2X) = 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 '(21 + -7X + -114x + 38xX + -72x2 + 24x2X)' equal to zero and attempt to solve:

Simplifying
21 + -7X + -114x + 38xX + -72x2 + 24x2X = 0

Solving
21 + -7X + -114x + 38xX + -72x2 + 24x2X = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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