(6z-u)(4z+4u)=

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Solution for (6z-u)(4z+4u)= equation: 


Simplifying
(6z + -1u)(4z + 4u) = 0

Reorder the terms:
(-1u + 6z)(4z + 4u) = 0

Reorder the terms:
(-1u + 6z)(4u + 4z) = 0

Multiply (-1u + 6z) * (4u + 4z)
(-1u * (4u + 4z) + 6z * (4u + 4z)) = 0
((4u * -1u + 4z * -1u) + 6z * (4u + 4z)) = 0

Reorder the terms:
((-4uz + -4u2) + 6z * (4u + 4z)) = 0
((-4uz + -4u2) + 6z * (4u + 4z)) = 0
(-4uz + -4u2 + (4u * 6z + 4z * 6z)) = 0
(-4uz + -4u2 + (24uz + 24z2)) = 0

Reorder the terms:
(-4uz + 24uz + -4u2 + 24z2) = 0

Combine like terms: -4uz + 24uz = 20uz
(20uz + -4u2 + 24z2) = 0

Solving
20uz + -4u2 + 24z2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5uz + -1u2 + 6z2) = 0

Factor a trinomial.
4((-1u + -1z)(u + -6z)) = 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 + -6z)' equal to zero and attempt to solve:

Simplifying
u + -6z = 0

Solving
u + -6z = 0

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

Add '6z' to each side of the equation.
u + -6z + 6z = 0 + 6z

Combine like terms: -6z + 6z = 0
u + 0 = 0 + 6z
u = 0 + 6z
Remove the zero:
u = 6z

Simplifying
u = 6z
Solution
u = {-1z, 6z}

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