(x-1)x(2x+3)x(x+4)=0

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

Simplifying
(x + -1) * x(2x + 3) * x(x + 4) = 0

Reorder the terms:
(-1 + x) * x(2x + 3) * x(x + 4) = 0

Reorder the terms:
(-1 + x) * x(3 + 2x) * x(x + 4) = 0

Reorder the terms:
(-1 + x) * x(3 + 2x) * x(4 + x) = 0

Reorder the terms for easier multiplication:
x * x(-1 + x)(3 + 2x)(4 + x) = 0

Multiply x * x
x2(-1 + x)(3 + 2x)(4 + x) = 0

Multiply (-1 + x) * (3 + 2x)
x2(-1(3 + 2x) + x(3 + 2x))(4 + x) = 0
x2((3 * -1 + 2x * -1) + x(3 + 2x))(4 + x) = 0
x2((-3 + -2x) + x(3 + 2x))(4 + x) = 0
x2(-3 + -2x + (3 * x + 2x * x))(4 + x) = 0
x2(-3 + -2x + (3x + 2x2))(4 + x) = 0

Combine like terms: -2x + 3x = 1x
x2(-3 + 1x + 2x2)(4 + x) = 0

Multiply (-3 + 1x + 2x2) * (4 + x)
x2(-3(4 + x) + 1x * (4 + x) + 2x2 * (4 + x)) = 0
x2((4 * -3 + x * -3) + 1x * (4 + x) + 2x2 * (4 + x)) = 0
x2((-12 + -3x) + 1x * (4 + x) + 2x2 * (4 + x)) = 0
x2(-12 + -3x + (4 * 1x + x * 1x) + 2x2 * (4 + x)) = 0
x2(-12 + -3x + (4x + 1x2) + 2x2 * (4 + x)) = 0
x2(-12 + -3x + 4x + 1x2 + (4 * 2x2 + x * 2x2)) = 0
x2(-12 + -3x + 4x + 1x2 + (8x2 + 2x3)) = 0

Combine like terms: -3x + 4x = 1x
x2(-12 + 1x + 1x2 + 8x2 + 2x3) = 0

Combine like terms: 1x2 + 8x2 = 9x2
x2(-12 + 1x + 9x2 + 2x3) = 0
(-12 * x2 + 1x * x2 + 9x2 * x2 + 2x3 * x2) = 0
(-12x2 + 1x3 + 9x4 + 2x5) = 0

Solving
-12x2 + 1x3 + 9x4 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-12 + x + 9x2 + 2x3) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-12 + x + 9x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-12 + x + 9x2 + 2x3 = 0

Solving
-12 + x + 9x2 + 2x3 = 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}