(u+2)2u^2=

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Solution for (u+2)2u^2= equation:


Simplifying
(u + 2) * 2u2 = 0

Reorder the terms:
(2 + u) * 2u2 = 0

Reorder the terms for easier multiplication:
2u2(2 + u) = 0
(2 * 2u2 + u * 2u2) = 0
(4u2 + 2u3) = 0

Solving
4u2 + 2u3 = 0

Solving for variable 'u'.

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

Ignore the factor 2.

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

Solution

u = {0, -2}

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