(9z-u)(6z+5u)=

Solution for (9z-u)(6z+5u)= equation:

Simplifying
(9z + -1u)(6z + 5u) = 0

Reorder the terms:
(-1u + 9z)(6z + 5u) = 0

Reorder the terms:
(-1u + 9z)(5u + 6z) = 0

Multiply (-1u + 9z) * (5u + 6z)
(-1u * (5u + 6z) + 9z * (5u + 6z)) = 0
((5u * -1u + 6z * -1u) + 9z * (5u + 6z)) = 0

Reorder the terms:
((-6uz + -5u2) + 9z * (5u + 6z)) = 0
((-6uz + -5u2) + 9z * (5u + 6z)) = 0
(-6uz + -5u2 + (5u * 9z + 6z * 9z)) = 0
(-6uz + -5u2 + (45uz + 54z2)) = 0

Reorder the terms:
(-6uz + 45uz + -5u2 + 54z2) = 0

Combine like terms: -6uz + 45uz = 39uz
(39uz + -5u2 + 54z2) = 0

Solving
39uz + -5u2 + 54z2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5u + -6z)(u + -9z) = 0

Subproblem 1
Set the factor '(-5u + -6z)' equal to zero and attempt to solve:

Simplifying
-5u + -6z = 0

Solving
-5u + -6z = 0

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

Add '6z' to each side of the equation.
-5u + -6z + 6z = 0 + 6z

Combine like terms: -6z + 6z = 0
-5u + 0 = 0 + 6z
-5u = 0 + 6z
Remove the zero:
-5u = 6z

Divide each side by '-5'.
u = -1.2z

Simplifying
u = -1.2z
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 = {-1.2z, 9z}