3u^2+78u=0

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Solution for 3u^2+78u=0 equation:


Simplifying
3u2 + 78u = 0

Reorder the terms:
78u + 3u2 = 0

Solving
78u + 3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u'.
3u(26 + u) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(26 + u)' equal to zero and attempt to solve: Simplifying 26 + u = 0 Solving 26 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + u = 0 + -26 Combine like terms: 26 + -26 = 0 0 + u = 0 + -26 u = 0 + -26 Combine like terms: 0 + -26 = -26 u = -26 Simplifying u = -26

Solution

u = {0, -26}

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