36u^2+60uv+25v^2=

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Solution for 36u^2+60uv+25v^2= equation:


Simplifying
36u2 + 60uv + 25v2 = 0

Reorder the terms:
60uv + 36u2 + 25v2 = 0

Solving
60uv + 36u2 + 25v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(6u + 5v)(6u + 5v) = 0

Subproblem 1

Set the factor '(6u + 5v)' equal to zero and attempt to solve: Simplifying 6u + 5v = 0 Solving 6u + 5v = 0 Move all terms containing u to the left, all other terms to the right. Add '-5v' to each side of the equation. 6u + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 6u + 0 = 0 + -5v 6u = 0 + -5v Remove the zero: 6u = -5v Divide each side by '6'. u = -0.8333333333v Simplifying u = -0.8333333333v

Subproblem 2

Set the factor '(6u + 5v)' equal to zero and attempt to solve: Simplifying 6u + 5v = 0 Solving 6u + 5v = 0 Move all terms containing u to the left, all other terms to the right. Add '-5v' to each side of the equation. 6u + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 6u + 0 = 0 + -5v 6u = 0 + -5v Remove the zero: 6u = -5v Divide each side by '6'. u = -0.8333333333v Simplifying u = -0.8333333333v

Solution

u = {-0.8333333333v, -0.8333333333v}

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