9u^2+24uv+16v^2=

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Solution for 9u^2+24uv+16v^2= equation:


Simplifying
9u2 + 24uv + 16v2 = 0

Reorder the terms:
24uv + 9u2 + 16v2 = 0

Solving
24uv + 9u2 + 16v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(3u + 4v)(3u + 4v) = 0

Subproblem 1

Set the factor '(3u + 4v)' equal to zero and attempt to solve: Simplifying 3u + 4v = 0 Solving 3u + 4v = 0 Move all terms containing u to the left, all other terms to the right. Add '-4v' to each side of the equation. 3u + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 3u + 0 = 0 + -4v 3u = 0 + -4v Remove the zero: 3u = -4v Divide each side by '3'. u = -1.333333333v Simplifying u = -1.333333333v

Subproblem 2

Set the factor '(3u + 4v)' equal to zero and attempt to solve: Simplifying 3u + 4v = 0 Solving 3u + 4v = 0 Move all terms containing u to the left, all other terms to the right. Add '-4v' to each side of the equation. 3u + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 3u + 0 = 0 + -4v 3u = 0 + -4v Remove the zero: 3u = -4v Divide each side by '3'. u = -1.333333333v Simplifying u = -1.333333333v

Solution

u = {-1.333333333v, -1.333333333v}

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