(7X^5)-63X=0

Solution for (7X^5)-63X=0 equation:

Simplifying
(7X5) + -63X = 0

Reorder the terms:
-63X + (7X5) = 0

Solving
-63X + (7X5) = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '7X'.
7X(-9 + X4) = 0

Factor a difference between two squares.
7X((3 + X2)(-3 + X2)) = 0

Ignore the factor 7.
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 '(3 + X2)' equal to zero and attempt to solve:

Simplifying
3 + X2 = 0

Solving
3 + X2 = 0

Move all terms containing X to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + X2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X2 = 0 + -3
X2 = 0 + -3

Combine like terms: 0 + -3 = -3
X2 = -3

Simplifying
X2 = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(-3 + X2)' equal to zero and attempt to solve:

Simplifying
-3 + X2 = 0

Solving
-3 + X2 = 0

Move all terms containing X to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + X2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X2 = 0 + 3
X2 = 0 + 3

Combine like terms: 0 + 3 = 3
X2 = 3

Simplifying
X2 = 3

Take the square root of each side:
X = {-1.732050808, 1.732050808}
Solution
X = {0, -1.732050808, 1.732050808}