(4u+9u)(4u+9v)=

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Solution for (4u+9u)(4u+9v)= equation: 


Simplifying
(4u + 9u)(4u + 9v) = 0

Combine like terms: 4u + 9u = 13u
(13u)(4u + 9v) = 0

Remove parenthesis around (13u)
13u(4u + 9v) = 0
(4u * 13u + 9v * 13u) = 0

Reorder the terms:
(117uv + 52u2) = 0
(117uv + 52u2) = 0

Solving
117uv + 52u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '13u'.
13u(9v + 4u) = 0

Ignore the factor 13.

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 '(9v + 4u)' equal to zero and attempt to solve:

Simplifying
9v + 4u = 0

Reorder the terms:
4u + 9v = 0

Solving
4u + 9v = 0

Move all terms containing u to the left, all other terms to the right.

Add '-9v' to each side of the equation.
4u + 9v + -9v = 0 + -9v

Combine like terms: 9v + -9v = 0
4u + 0 = 0 + -9v
4u = 0 + -9v
Remove the zero:
4u = -9v

Divide each side by '4'.
u = -2.25v

Simplifying
u = -2.25v
Solution
u = {0, -2.25v}

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