5y^3*1=5y^2

Solution for 5y^3*1=5y^2 equation:

Simplifying
5y3 * 1 = 5y2

Reorder the terms for easier multiplication:
5 * 1y3 = 5y2

Multiply 5 * 1
5y3 = 5y2

Solving
5y3 = 5y2

Solving for variable 'y'.

Reorder the terms:
-5y2 + 5y3 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-5y2 + 5y3 = 0

Factor out the Greatest Common Factor (GCF), '5y2'.
5y2(-1 + y) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

Add '1' to each side of the equation.
-1 + 1 + y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + y = 0 + 1
y = 0 + 1

Combine like terms: 0 + 1 = 1
y = 1

Simplifying
y = 1
Solution
y = {0, 1}