t^3-2t^2=0

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


Simplifying
t3 + -2t2 = 0

Reorder the terms:
-2t2 + t3 = 0

Solving
-2t2 + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-2 + t) = 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 '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Simplifying t = 2

Solution

t = {0, 2}

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