(6z-u)(5z+4u)=

Solution for (6z-u)(5z+4u)= equation:

Simplifying
(6z + -1u)(5z + 4u) = 0

Reorder the terms:
(-1u + 6z)(5z + 4u) = 0

Reorder the terms:
(-1u + 6z)(4u + 5z) = 0

Multiply (-1u + 6z) * (4u + 5z)
(-1u * (4u + 5z) + 6z * (4u + 5z)) = 0
((4u * -1u + 5z * -1u) + 6z * (4u + 5z)) = 0

Reorder the terms:
((-5uz + -4u2) + 6z * (4u + 5z)) = 0
((-5uz + -4u2) + 6z * (4u + 5z)) = 0
(-5uz + -4u2 + (4u * 6z + 5z * 6z)) = 0
(-5uz + -4u2 + (24uz + 30z2)) = 0

Reorder the terms:
(-5uz + 24uz + -4u2 + 30z2) = 0

Combine like terms: -5uz + 24uz = 19uz
(19uz + -4u2 + 30z2) = 0

Solving
19uz + -4u2 + 30z2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4u + -5z)(u + -6z) = 0

Subproblem 1
Set the factor '(-4u + -5z)' equal to zero and attempt to solve:

Simplifying
-4u + -5z = 0

Solving
-4u + -5z = 0

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

Add '5z' to each side of the equation.
-4u + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
-4u + 0 = 0 + 5z
-4u = 0 + 5z
Remove the zero:
-4u = 5z

Divide each side by '-4'.
u = -1.25z

Simplifying
u = -1.25z
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 = {-1.25z, 6z}