x(x+1)(x-2)(x+17)=0

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Solution for x(x+1)(x-2)(x+17)=0 equation: 


Simplifying
x(x + 1)(x + -2)(x + 17) = 0

Reorder the terms:
x(1 + x)(x + -2)(x + 17) = 0

Reorder the terms:
x(1 + x)(-2 + x)(x + 17) = 0

Reorder the terms:
x(1 + x)(-2 + x)(17 + x) = 0

Multiply (1 + x) * (-2 + x)
x(1(-2 + x) + x(-2 + x))(17 + x) = 0
x((-2 * 1 + x * 1) + x(-2 + x))(17 + x) = 0
x((-2 + 1x) + x(-2 + x))(17 + x) = 0
x(-2 + 1x + (-2 * x + x * x))(17 + x) = 0
x(-2 + 1x + (-2x + x2))(17 + x) = 0

Combine like terms: 1x + -2x = -1x
x(-2 + -1x + x2)(17 + x) = 0

Multiply (-2 + -1x + x2) * (17 + x)
x(-2(17 + x) + -1x * (17 + x) + x2(17 + x)) = 0
x((17 * -2 + x * -2) + -1x * (17 + x) + x2(17 + x)) = 0
x((-34 + -2x) + -1x * (17 + x) + x2(17 + x)) = 0
x(-34 + -2x + (17 * -1x + x * -1x) + x2(17 + x)) = 0
x(-34 + -2x + (-17x + -1x2) + x2(17 + x)) = 0
x(-34 + -2x + -17x + -1x2 + (17 * x2 + x * x2)) = 0
x(-34 + -2x + -17x + -1x2 + (17x2 + x3)) = 0

Combine like terms: -2x + -17x = -19x
x(-34 + -19x + -1x2 + 17x2 + x3) = 0

Combine like terms: -1x2 + 17x2 = 16x2
x(-34 + -19x + 16x2 + x3) = 0
(-34 * x + -19x * x + 16x2 * x + x3 * x) = 0
(-34x + -19x2 + 16x3 + x4) = 0

Solving
-34x + -19x2 + 16x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-34 + -19x + 16x2 + 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 '(-34 + -19x + 16x2 + x3)' equal to zero and attempt to solve:

Simplifying
-34 + -19x + 16x2 + x3 = 0

Solving
-34 + -19x + 16x2 + 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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