x(x-2)(x+14)(x-5)=0

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Solution for x(x-2)(x+14)(x-5)=0 equation: 


Simplifying
x(x + -2)(x + 14)(x + -5) = 0

Reorder the terms:
x(-2 + x)(x + 14)(x + -5) = 0

Reorder the terms:
x(-2 + x)(14 + x)(x + -5) = 0

Reorder the terms:
x(-2 + x)(14 + x)(-5 + x) = 0

Multiply (-2 + x) * (14 + x)
x(-2(14 + x) + x(14 + x))(-5 + x) = 0
x((14 * -2 + x * -2) + x(14 + x))(-5 + x) = 0
x((-28 + -2x) + x(14 + x))(-5 + x) = 0
x(-28 + -2x + (14 * x + x * x))(-5 + x) = 0
x(-28 + -2x + (14x + x2))(-5 + x) = 0

Combine like terms: -2x + 14x = 12x
x(-28 + 12x + x2)(-5 + x) = 0

Multiply (-28 + 12x + x2) * (-5 + x)
x(-28(-5 + x) + 12x * (-5 + x) + x2(-5 + x)) = 0
x((-5 * -28 + x * -28) + 12x * (-5 + x) + x2(-5 + x)) = 0
x((140 + -28x) + 12x * (-5 + x) + x2(-5 + x)) = 0
x(140 + -28x + (-5 * 12x + x * 12x) + x2(-5 + x)) = 0
x(140 + -28x + (-60x + 12x2) + x2(-5 + x)) = 0
x(140 + -28x + -60x + 12x2 + (-5 * x2 + x * x2)) = 0
x(140 + -28x + -60x + 12x2 + (-5x2 + x3)) = 0

Combine like terms: -28x + -60x = -88x
x(140 + -88x + 12x2 + -5x2 + x3) = 0

Combine like terms: 12x2 + -5x2 = 7x2
x(140 + -88x + 7x2 + x3) = 0
(140 * x + -88x * x + 7x2 * x + x3 * x) = 0
(140x + -88x2 + 7x3 + x4) = 0

Solving
140x + -88x2 + 7x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(140 + -88x + 7x2 + x3) = 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 + -88x + 7x2 + x3)' equal to zero and attempt to solve:

Simplifying
140 + -88x + 7x2 + x3 = 0

Solving
140 + -88x + 7x2 + x3 = 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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