x(3x-5)(x+4)(x-7)=0

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Solution for x(3x-5)(x+4)(x-7)=0 equation: 


Simplifying
x(3x + -5)(x + 4)(x + -7) = 0

Reorder the terms:
x(-5 + 3x)(x + 4)(x + -7) = 0

Reorder the terms:
x(-5 + 3x)(4 + x)(x + -7) = 0

Reorder the terms:
x(-5 + 3x)(4 + x)(-7 + x) = 0

Multiply (-5 + 3x) * (4 + x)
x(-5(4 + x) + 3x * (4 + x))(-7 + x) = 0
x((4 * -5 + x * -5) + 3x * (4 + x))(-7 + x) = 0
x((-20 + -5x) + 3x * (4 + x))(-7 + x) = 0
x(-20 + -5x + (4 * 3x + x * 3x))(-7 + x) = 0
x(-20 + -5x + (12x + 3x2))(-7 + x) = 0

Combine like terms: -5x + 12x = 7x
x(-20 + 7x + 3x2)(-7 + x) = 0

Multiply (-20 + 7x + 3x2) * (-7 + x)
x(-20(-7 + x) + 7x * (-7 + x) + 3x2 * (-7 + x)) = 0
x((-7 * -20 + x * -20) + 7x * (-7 + x) + 3x2 * (-7 + x)) = 0
x((140 + -20x) + 7x * (-7 + x) + 3x2 * (-7 + x)) = 0
x(140 + -20x + (-7 * 7x + x * 7x) + 3x2 * (-7 + x)) = 0
x(140 + -20x + (-49x + 7x2) + 3x2 * (-7 + x)) = 0
x(140 + -20x + -49x + 7x2 + (-7 * 3x2 + x * 3x2)) = 0
x(140 + -20x + -49x + 7x2 + (-21x2 + 3x3)) = 0

Combine like terms: -20x + -49x = -69x
x(140 + -69x + 7x2 + -21x2 + 3x3) = 0

Combine like terms: 7x2 + -21x2 = -14x2
x(140 + -69x + -14x2 + 3x3) = 0
(140 * x + -69x * x + -14x2 * x + 3x3 * x) = 0
(140x + -69x2 + -14x3 + 3x4) = 0

Solving
140x + -69x2 + -14x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(140 + -69x + -14x2 + 3x3) = 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 '(140 + -69x + -14x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
140 + -69x + -14x2 + 3x3 = 0

Solving
140 + -69x + -14x2 + 3x3 = 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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