0=t^3-3t^2

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Solution for 0=t^3-3t^2 equation: 


Simplifying
0 = t3 + -3t2

Reorder the terms:
0 = -3t2 + t3

Solving
0 = -3t2 + t3

Solving for variable 't'.
Remove the zero:
3t2 + -1t3 = -3t2 + t3 + 3t2 + -1t3

Reorder the terms:
3t2 + -1t3 = -3t2 + 3t2 + t3 + -1t3

Combine like terms: -3t2 + 3t2 = 0
3t2 + -1t3 = 0 + t3 + -1t3
3t2 + -1t3 = t3 + -1t3

Combine like terms: t3 + -1t3 = 0
3t2 + -1t3 = 0

Factor out the Greatest Common Factor (GCF), 't2'.
t2(3 + -1t) = 0


Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}

Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {0, 3}

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