(10u*u*u)-(5u*u)=0

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Solution for (10u*u*u)-(5u*u)=0 equation:


Simplifying
(10u * u * u) + -1(5u * u) = 0

Multiply u * u
(10u2 * u) + -1(5u * u) = 0

Multiply u2 * u
(10u3) + -1(5u * u) = 0

Multiply u * u
(10u3) + -1(5u2) = 0

Remove parenthesis around (5u2)
(10u3) + -1 * 5u2 = 0

Multiply -1 * 5
(10u3) + -5u2 = 0

Reorder the terms:
-5u2 + (10u3) = 0

Solving
-5u2 + (10u3) = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u2'.
5u2(-1 + (2u)) = 0

Ignore the factor 5.

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 '(-1 + (2u))' equal to zero and attempt to solve: Simplifying -1 + (2u) = 0 Solving -1 + (2u) = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + (2u) = 0 + 1 Combine like terms: -1 + 1 = 0 0 + (2u) = 0 + 1 (2u) = 0 + 1 Combine like terms: 0 + 1 = 1 (2u) = 1 Divide each side by '2'. u = 0.5 Simplifying u = 0.5

Solution

u = {0, 0.5}

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