x(x-2)(x-3)(2x+7)=0

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Solution for x(x-2)(x-3)(2x+7)=0 equation: 


Simplifying
x(x + -2)(x + -3)(2x + 7) = 0

Reorder the terms:
x(-2 + x)(x + -3)(2x + 7) = 0

Reorder the terms:
x(-2 + x)(-3 + x)(2x + 7) = 0

Reorder the terms:
x(-2 + x)(-3 + x)(7 + 2x) = 0

Multiply (-2 + x) * (-3 + x)
x(-2(-3 + x) + x(-3 + x))(7 + 2x) = 0
x((-3 * -2 + x * -2) + x(-3 + x))(7 + 2x) = 0
x((6 + -2x) + x(-3 + x))(7 + 2x) = 0
x(6 + -2x + (-3 * x + x * x))(7 + 2x) = 0
x(6 + -2x + (-3x + x2))(7 + 2x) = 0

Combine like terms: -2x + -3x = -5x
x(6 + -5x + x2)(7 + 2x) = 0

Multiply (6 + -5x + x2) * (7 + 2x)
x(6(7 + 2x) + -5x * (7 + 2x) + x2(7 + 2x)) = 0
x((7 * 6 + 2x * 6) + -5x * (7 + 2x) + x2(7 + 2x)) = 0
x((42 + 12x) + -5x * (7 + 2x) + x2(7 + 2x)) = 0
x(42 + 12x + (7 * -5x + 2x * -5x) + x2(7 + 2x)) = 0
x(42 + 12x + (-35x + -10x2) + x2(7 + 2x)) = 0
x(42 + 12x + -35x + -10x2 + (7 * x2 + 2x * x2)) = 0
x(42 + 12x + -35x + -10x2 + (7x2 + 2x3)) = 0

Combine like terms: 12x + -35x = -23x
x(42 + -23x + -10x2 + 7x2 + 2x3) = 0

Combine like terms: -10x2 + 7x2 = -3x2
x(42 + -23x + -3x2 + 2x3) = 0
(42 * x + -23x * x + -3x2 * x + 2x3 * x) = 0
(42x + -23x2 + -3x3 + 2x4) = 0

Solving
42x + -23x2 + -3x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(42 + -23x + -3x2 + 2x3) = 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 '(42 + -23x + -3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
42 + -23x + -3x2 + 2x3 = 0

Solving
42 + -23x + -3x2 + 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}

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