X(x-4)(x+7)(2x-9)(3x+1)=0

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Solution for X(x-4)(x+7)(2x-9)(3x+1)=0 equation: 


Simplifying
X(x + -4)(x + 7)(2x + -9)(3x + 1) = 0

Reorder the terms:
X(-4 + x)(x + 7)(2x + -9)(3x + 1) = 0

Reorder the terms:
X(-4 + x)(7 + x)(2x + -9)(3x + 1) = 0

Reorder the terms:
X(-4 + x)(7 + x)(-9 + 2x)(3x + 1) = 0

Reorder the terms:
X(-4 + x)(7 + x)(-9 + 2x)(1 + 3x) = 0

Multiply (-4 + x) * (7 + x)
X(-4(7 + x) + x(7 + x))(-9 + 2x)(1 + 3x) = 0
X((7 * -4 + x * -4) + x(7 + x))(-9 + 2x)(1 + 3x) = 0
X((-28 + -4x) + x(7 + x))(-9 + 2x)(1 + 3x) = 0
X(-28 + -4x + (7 * x + x * x))(-9 + 2x)(1 + 3x) = 0
X(-28 + -4x + (7x + x2))(-9 + 2x)(1 + 3x) = 0

Combine like terms: -4x + 7x = 3x
X(-28 + 3x + x2)(-9 + 2x)(1 + 3x) = 0

Multiply (-28 + 3x + x2) * (-9 + 2x)
X(-28(-9 + 2x) + 3x * (-9 + 2x) + x2(-9 + 2x))(1 + 3x) = 0
X((-9 * -28 + 2x * -28) + 3x * (-9 + 2x) + x2(-9 + 2x))(1 + 3x) = 0
X((252 + -56x) + 3x * (-9 + 2x) + x2(-9 + 2x))(1 + 3x) = 0
X(252 + -56x + (-9 * 3x + 2x * 3x) + x2(-9 + 2x))(1 + 3x) = 0
X(252 + -56x + (-27x + 6x2) + x2(-9 + 2x))(1 + 3x) = 0
X(252 + -56x + -27x + 6x2 + (-9 * x2 + 2x * x2))(1 + 3x) = 0
X(252 + -56x + -27x + 6x2 + (-9x2 + 2x3))(1 + 3x) = 0

Combine like terms: -56x + -27x = -83x
X(252 + -83x + 6x2 + -9x2 + 2x3)(1 + 3x) = 0

Combine like terms: 6x2 + -9x2 = -3x2
X(252 + -83x + -3x2 + 2x3)(1 + 3x) = 0

Multiply (252 + -83x + -3x2 + 2x3) * (1 + 3x)
X(252(1 + 3x) + -83x * (1 + 3x) + -3x2 * (1 + 3x) + 2x3 * (1 + 3x)) = 0
X((1 * 252 + 3x * 252) + -83x * (1 + 3x) + -3x2 * (1 + 3x) + 2x3 * (1 + 3x)) = 0
X((252 + 756x) + -83x * (1 + 3x) + -3x2 * (1 + 3x) + 2x3 * (1 + 3x)) = 0
X(252 + 756x + (1 * -83x + 3x * -83x) + -3x2 * (1 + 3x) + 2x3 * (1 + 3x)) = 0
X(252 + 756x + (-83x + -249x2) + -3x2 * (1 + 3x) + 2x3 * (1 + 3x)) = 0
X(252 + 756x + -83x + -249x2 + (1 * -3x2 + 3x * -3x2) + 2x3 * (1 + 3x)) = 0
X(252 + 756x + -83x + -249x2 + (-3x2 + -9x3) + 2x3 * (1 + 3x)) = 0
X(252 + 756x + -83x + -249x2 + -3x2 + -9x3 + (1 * 2x3 + 3x * 2x3)) = 0
X(252 + 756x + -83x + -249x2 + -3x2 + -9x3 + (2x3 + 6x4)) = 0

Combine like terms: 756x + -83x = 673x
X(252 + 673x + -249x2 + -3x2 + -9x3 + 2x3 + 6x4) = 0

Combine like terms: -249x2 + -3x2 = -252x2
X(252 + 673x + -252x2 + -9x3 + 2x3 + 6x4) = 0

Combine like terms: -9x3 + 2x3 = -7x3
X(252 + 673x + -252x2 + -7x3 + 6x4) = 0
(252 * X + 673x * X + -252x2 * X + -7x3 * X + 6x4 * X) = 0
(252X + 673xX + -252x2X + -7x3X + 6x4X) = 0

Solving
252X + 673xX + -252x2X + -7x3X + 6x4X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(252 + 673x + -252x2 + -7x3 + 6x4) = 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 '(252 + 673x + -252x2 + -7x3 + 6x4)' equal to zero and attempt to solve:

Simplifying
252 + 673x + -252x2 + -7x3 + 6x4 = 0

Solving
252 + 673x + -252x2 + -7x3 + 6x4 = 0

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

Add '-252' to each side of the equation.
252 + 673x + -252x2 + -7x3 + -252 + 6x4 = 0 + -252

Reorder the terms:
252 + -252 + 673x + -252x2 + -7x3 + 6x4 = 0 + -252

Combine like terms: 252 + -252 = 0
0 + 673x + -252x2 + -7x3 + 6x4 = 0 + -252
673x + -252x2 + -7x3 + 6x4 = 0 + -252

Combine like terms: 0 + -252 = -252
673x + -252x2 + -7x3 + 6x4 = -252

Add '-673x' to each side of the equation.
673x + -252x2 + -7x3 + -673x + 6x4 = -252 + -673x

Reorder the terms:
673x + -673x + -252x2 + -7x3 + 6x4 = -252 + -673x

Combine like terms: 673x + -673x = 0
0 + -252x2 + -7x3 + 6x4 = -252 + -673x
-252x2 + -7x3 + 6x4 = -252 + -673x

Add '252x2' to each side of the equation.
-252x2 + -7x3 + 252x2 + 6x4 = -252 + -673x + 252x2

Reorder the terms:
-252x2 + 252x2 + -7x3 + 6x4 = -252 + -673x + 252x2

Combine like terms: -252x2 + 252x2 = 0
0 + -7x3 + 6x4 = -252 + -673x + 252x2
-7x3 + 6x4 = -252 + -673x + 252x2

Add '7x3' to each side of the equation.
-7x3 + 7x3 + 6x4 = -252 + -673x + 252x2 + 7x3

Combine like terms: -7x3 + 7x3 = 0
0 + 6x4 = -252 + -673x + 252x2 + 7x3
6x4 = -252 + -673x + 252x2 + 7x3

Add '-6x4' to each side of the equation.
6x4 + -6x4 = -252 + -673x + 252x2 + 7x3 + -6x4

Combine like terms: 6x4 + -6x4 = 0
0 = -252 + -673x + 252x2 + 7x3 + -6x4

Simplifying
0 = -252 + -673x + 252x2 + 7x3 + -6x4

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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