y^3=63y

Solution for y^3=63y equation:

Simplifying
y3 = 63y

Solving
y3 = 63y

Solving for variable 'y'.

Reorder the terms:
-63y + y3 = 63y + -63y

Combine like terms: 63y + -63y = 0
-63y + y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-63 + y2) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-63 + y2)' equal to zero and attempt to solve:

Simplifying
-63 + y2 = 0

Solving
-63 + y2 = 0

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

Add '63' to each side of the equation.
-63 + 63 + y2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + y2 = 0 + 63
y2 = 0 + 63

Combine like terms: 0 + 63 = 63
y2 = 63

Simplifying
y2 = 63

Take the square root of each side:
y = {-7.937253933, 7.937253933}
Solution
y = {0, -7.937253933, 7.937253933}