(8z-u)(4z+6U)=

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Solution for (8z-u)(4z+6U)= equation: 


Simplifying
(8z + -1u)(4z + 6U) = 0

Reorder the terms:
(-1u + 8z)(4z + 6U) = 0

Reorder the terms:
(-1u + 8z)(6U + 4z) = 0

Multiply (-1u + 8z) * (6U + 4z)
(-1u * (6U + 4z) + 8z * (6U + 4z)) = 0
((6U * -1u + 4z * -1u) + 8z * (6U + 4z)) = 0
((-6uU + -4uz) + 8z * (6U + 4z)) = 0
(-6uU + -4uz + (6U * 8z + 4z * 8z)) = 0
(-6uU + -4uz + (48zU + 32z2)) = 0
(-6uU + -4uz + 48zU + 32z2) = 0

Solving
-6uU + -4uz + 48zU + 32z2 = 0

Solving for variable 'u'.

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

Add '-48zU' to each side of the equation.
-6uU + -4uz + 48zU + -48zU + 32z2 = 0 + -48zU

Combine like terms: 48zU + -48zU = 0
-6uU + -4uz + 0 + 32z2 = 0 + -48zU
-6uU + -4uz + 32z2 = 0 + -48zU
Remove the zero:
-6uU + -4uz + 32z2 = -48zU

Add '-32z2' to each side of the equation.
-6uU + -4uz + 32z2 + -32z2 = -48zU + -32z2

Combine like terms: 32z2 + -32z2 = 0
-6uU + -4uz + 0 = -48zU + -32z2
-6uU + -4uz = -48zU + -32z2

Reorder the terms:
-6uU + -4uz + 48zU + 32z2 = -48zU + 48zU + -32z2 + 32z2

Combine like terms: -48zU + 48zU = 0
-6uU + -4uz + 48zU + 32z2 = 0 + -32z2 + 32z2
-6uU + -4uz + 48zU + 32z2 = -32z2 + 32z2

Combine like terms: -32z2 + 32z2 = 0
-6uU + -4uz + 48zU + 32z2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3uU + -2uz + 24zU + 16z2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3uU + -2uz + 24zU + 16z2)' equal to zero and attempt to solve:

Simplifying
-3uU + -2uz + 24zU + 16z2 = 0

Solving
-3uU + -2uz + 24zU + 16z2 = 0

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

Add '-24zU' to each side of the equation.
-3uU + -2uz + 24zU + -24zU + 16z2 = 0 + -24zU

Combine like terms: 24zU + -24zU = 0
-3uU + -2uz + 0 + 16z2 = 0 + -24zU
-3uU + -2uz + 16z2 = 0 + -24zU
Remove the zero:
-3uU + -2uz + 16z2 = -24zU

Add '-16z2' to each side of the equation.
-3uU + -2uz + 16z2 + -16z2 = -24zU + -16z2

Combine like terms: 16z2 + -16z2 = 0
-3uU + -2uz + 0 = -24zU + -16z2
-3uU + -2uz = -24zU + -16z2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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