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

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


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

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

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

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

Multiply (-3 + 1x) * (7x + 4x2)
(-3(7x + 4x2) + 1x * (7x + 4x2))(-1 + 6x) = 0
((7x * -3 + 4x2 * -3) + 1x * (7x + 4x2))(-1 + 6x) = 0
((-21x + -12x2) + 1x * (7x + 4x2))(-1 + 6x) = 0
(-21x + -12x2 + (7x * 1x + 4x2 * 1x))(-1 + 6x) = 0
(-21x + -12x2 + (7x2 + 4x3))(-1 + 6x) = 0

Combine like terms: -12x2 + 7x2 = -5x2
(-21x + -5x2 + 4x3)(-1 + 6x) = 0

Multiply (-21x + -5x2 + 4x3) * (-1 + 6x)
(-21x * (-1 + 6x) + -5x2 * (-1 + 6x) + 4x3 * (-1 + 6x)) = 0
((-1 * -21x + 6x * -21x) + -5x2 * (-1 + 6x) + 4x3 * (-1 + 6x)) = 0
((21x + -126x2) + -5x2 * (-1 + 6x) + 4x3 * (-1 + 6x)) = 0
(21x + -126x2 + (-1 * -5x2 + 6x * -5x2) + 4x3 * (-1 + 6x)) = 0
(21x + -126x2 + (5x2 + -30x3) + 4x3 * (-1 + 6x)) = 0
(21x + -126x2 + 5x2 + -30x3 + (-1 * 4x3 + 6x * 4x3)) = 0
(21x + -126x2 + 5x2 + -30x3 + (-4x3 + 24x4)) = 0

Combine like terms: -126x2 + 5x2 = -121x2
(21x + -121x2 + -30x3 + -4x3 + 24x4) = 0

Combine like terms: -30x3 + -4x3 = -34x3
(21x + -121x2 + -34x3 + 24x4) = 0

Solving
21x + -121x2 + -34x3 + 24x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(21 + -121x + -34x2 + 24x3) = 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 + -121x + -34x2 + 24x3)' equal to zero and attempt to solve:

Simplifying
21 + -121x + -34x2 + 24x3 = 0

Solving
21 + -121x + -34x2 + 24x3 = 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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