x(x-5)(x+54)(x+34)=0

Solution for x(x-5)(x+54)(x+34)=0 equation:

Simplifying
x(x + -5)(x + 54)(x + 34) = 0

Reorder the terms:
x(-5 + x)(x + 54)(x + 34) = 0

Reorder the terms:
x(-5 + x)(54 + x)(x + 34) = 0

Reorder the terms:
x(-5 + x)(54 + x)(34 + x) = 0

Multiply (-5 + x) * (54 + x)
x(-5(54 + x) + x(54 + x))(34 + x) = 0
x((54 * -5 + x * -5) + x(54 + x))(34 + x) = 0
x((-270 + -5x) + x(54 + x))(34 + x) = 0
x(-270 + -5x + (54 * x + x * x))(34 + x) = 0
x(-270 + -5x + (54x + x2))(34 + x) = 0

Combine like terms: -5x + 54x = 49x
x(-270 + 49x + x2)(34 + x) = 0

Multiply (-270 + 49x + x2) * (34 + x)
x(-270(34 + x) + 49x * (34 + x) + x2(34 + x)) = 0
x((34 * -270 + x * -270) + 49x * (34 + x) + x2(34 + x)) = 0
x((-9180 + -270x) + 49x * (34 + x) + x2(34 + x)) = 0
x(-9180 + -270x + (34 * 49x + x * 49x) + x2(34 + x)) = 0
x(-9180 + -270x + (1666x + 49x2) + x2(34 + x)) = 0
x(-9180 + -270x + 1666x + 49x2 + (34 * x2 + x * x2)) = 0
x(-9180 + -270x + 1666x + 49x2 + (34x2 + x3)) = 0

Combine like terms: -270x + 1666x = 1396x
x(-9180 + 1396x + 49x2 + 34x2 + x3) = 0

Combine like terms: 49x2 + 34x2 = 83x2
x(-9180 + 1396x + 83x2 + x3) = 0
(-9180 * x + 1396x * x + 83x2 * x + x3 * x) = 0
(-9180x + 1396x2 + 83x3 + x4) = 0

Solving
-9180x + 1396x2 + 83x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9180 + 1396x + 83x2 + 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 '(-9180 + 1396x + 83x2 + x3)' equal to zero and attempt to solve:

Simplifying
-9180 + 1396x + 83x2 + x3 = 0

Solving
-9180 + 1396x + 83x2 + 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}