(9z-u)(4z+4u)=

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Solution for (9z-u)(4z+4u)= equation: 


Simplifying
(9z + -1u)(4z + 4u) = 0

Reorder the terms:
(-1u + 9z)(4z + 4u) = 0

Reorder the terms:
(-1u + 9z)(4u + 4z) = 0

Multiply (-1u + 9z) * (4u + 4z)
(-1u * (4u + 4z) + 9z * (4u + 4z)) = 0
((4u * -1u + 4z * -1u) + 9z * (4u + 4z)) = 0

Reorder the terms:
((-4uz + -4u2) + 9z * (4u + 4z)) = 0
((-4uz + -4u2) + 9z * (4u + 4z)) = 0
(-4uz + -4u2 + (4u * 9z + 4z * 9z)) = 0
(-4uz + -4u2 + (36uz + 36z2)) = 0

Reorder the terms:
(-4uz + 36uz + -4u2 + 36z2) = 0

Combine like terms: -4uz + 36uz = 32uz
(32uz + -4u2 + 36z2) = 0

Solving
32uz + -4u2 + 36z2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8uz + -1u2 + 9z2) = 0

Factor a trinomial.
4((-1u + -1z)(u + -9z)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1u + -1z)' equal to zero and attempt to solve:

Simplifying
-1u + -1z = 0

Solving
-1u + -1z = 0

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

Add 'z' to each side of the equation.
-1u + -1z + z = 0 + z

Combine like terms: -1z + z = 0
-1u + 0 = 0 + z
-1u = 0 + z
Remove the zero:
-1u = z

Divide each side by '-1'.
u = -1z

Simplifying
u = -1z

Subproblem 2
Set the factor '(u + -9z)' equal to zero and attempt to solve:

Simplifying
u + -9z = 0

Solving
u + -9z = 0

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

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

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

Simplifying
u = 9z
Solution
u = {-1z, 9z}

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