(8z-u)(4z+3u)=

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Solution for (8z-u)(4z+3u)= equation: 


Simplifying
(8z + -1u)(4z + 3u) = 0

Reorder the terms:
(-1u + 8z)(4z + 3u) = 0

Reorder the terms:
(-1u + 8z)(3u + 4z) = 0

Multiply (-1u + 8z) * (3u + 4z)
(-1u * (3u + 4z) + 8z * (3u + 4z)) = 0
((3u * -1u + 4z * -1u) + 8z * (3u + 4z)) = 0

Reorder the terms:
((-4uz + -3u2) + 8z * (3u + 4z)) = 0
((-4uz + -3u2) + 8z * (3u + 4z)) = 0
(-4uz + -3u2 + (3u * 8z + 4z * 8z)) = 0
(-4uz + -3u2 + (24uz + 32z2)) = 0

Reorder the terms:
(-4uz + 24uz + -3u2 + 32z2) = 0

Combine like terms: -4uz + 24uz = 20uz
(20uz + -3u2 + 32z2) = 0

Solving
20uz + -3u2 + 32z2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3u + -4z)(u + -8z) = 0


Subproblem 1
Set the factor '(-3u + -4z)' equal to zero and attempt to solve:

Simplifying
-3u + -4z = 0

Solving
-3u + -4z = 0

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

Add '4z' to each side of the equation.
-3u + -4z + 4z = 0 + 4z

Combine like terms: -4z + 4z = 0
-3u + 0 = 0 + 4z
-3u = 0 + 4z
Remove the zero:
-3u = 4z

Divide each side by '-3'.
u = -1.333333333z

Simplifying
u = -1.333333333z

Subproblem 2
Set the factor '(u + -8z)' equal to zero and attempt to solve:

Simplifying
u + -8z = 0

Solving
u + -8z = 0

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

Add '8z' to each side of the equation.
u + -8z + 8z = 0 + 8z

Combine like terms: -8z + 8z = 0
u + 0 = 0 + 8z
u = 0 + 8z
Remove the zero:
u = 8z

Simplifying
u = 8z
Solution
u = {-1.333333333z, 8z}

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