u^3-7u^2=0

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Solution for u^3-7u^2=0 equation:


Simplifying
u3 + -7u2 = 0

Reorder the terms:
-7u2 + u3 = 0

Solving
-7u2 + u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u2'.
u2(-7 + u) = 0

Subproblem 1

Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}

Subproblem 2

Set the factor '(-7 + u)' equal to zero and attempt to solve: Simplifying -7 + u = 0 Solving -7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + u = 0 + 7 u = 0 + 7 Combine like terms: 0 + 7 = 7 u = 7 Simplifying u = 7

Solution

u = {0, 7}

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