(x-5z)(5x+6z)=

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


Simplifying
(x + -5z)(5x + 6z) = 0

Multiply (x + -5z) * (5x + 6z)
(x(5x + 6z) + -5z * (5x + 6z)) = 0
((5x * x + 6z * x) + -5z * (5x + 6z)) = 0

Reorder the terms:
((6xz + 5x2) + -5z * (5x + 6z)) = 0
((6xz + 5x2) + -5z * (5x + 6z)) = 0
(6xz + 5x2 + (5x * -5z + 6z * -5z)) = 0
(6xz + 5x2 + (-25xz + -30z2)) = 0

Reorder the terms:
(6xz + -25xz + 5x2 + -30z2) = 0

Combine like terms: 6xz + -25xz = -19xz
(-19xz + 5x2 + -30z2) = 0

Solving
-19xz + 5x2 + -30z2 = 0

Solving for variable 'x'.

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


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

Simplifying
x + -5z = 0

Solving
x + -5z = 0

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

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

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

Simplifying
x = 5z

Subproblem 2
Set the factor '(5x + 6z)' equal to zero and attempt to solve:

Simplifying
5x + 6z = 0

Solving
5x + 6z = 0

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

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

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

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

Simplifying
x = -1.2z
Solution
x = {5z, -1.2z}

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