32u^2+16uv+2v^2=

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Solution for 32u^2+16uv+2v^2= equation:


Simplifying
32u2 + 16uv + 2v2 = 0

Reorder the terms:
16uv + 32u2 + 2v2 = 0

Solving
16uv + 32u2 + 2v2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8uv + 16u2 + v2) = 0

Factor a trinomial.
2((4u + v)(4u + v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4u + v)' equal to zero and attempt to solve: Simplifying 4u + v = 0 Solving 4u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. 4u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 4u + 0 = 0 + -1v 4u = 0 + -1v Remove the zero: 4u = -1v Divide each side by '4'. u = -0.25v Simplifying u = -0.25v

Subproblem 2

Set the factor '(4u + v)' equal to zero and attempt to solve: Simplifying 4u + v = 0 Solving 4u + v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. 4u + v + -1v = 0 + -1v Combine like terms: v + -1v = 0 4u + 0 = 0 + -1v 4u = 0 + -1v Remove the zero: 4u = -1v Divide each side by '4'. u = -0.25v Simplifying u = -0.25v

Solution

u = {-0.25v, -0.25v}

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