(x-5z)*(8x+3z)=

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Solution for (x-5z)*(8x+3z)= equation: 


Simplifying
(x + -5z)(8x + 3z) = 0

Multiply (x + -5z) * (8x + 3z)
(x(8x + 3z) + -5z * (8x + 3z)) = 0
((8x * x + 3z * x) + -5z * (8x + 3z)) = 0

Reorder the terms:
((3xz + 8x2) + -5z * (8x + 3z)) = 0
((3xz + 8x2) + -5z * (8x + 3z)) = 0
(3xz + 8x2 + (8x * -5z + 3z * -5z)) = 0
(3xz + 8x2 + (-40xz + -15z2)) = 0

Reorder the terms:
(3xz + -40xz + 8x2 + -15z2) = 0

Combine like terms: 3xz + -40xz = -37xz
(-37xz + 8x2 + -15z2) = 0

Solving
-37xz + 8x2 + -15z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5z)(8x + 3z) = 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 '(8x + 3z)' equal to zero and attempt to solve:

Simplifying
8x + 3z = 0

Solving
8x + 3z = 0

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

Add '-3z' to each side of the equation.
8x + 3z + -3z = 0 + -3z

Combine like terms: 3z + -3z = 0
8x + 0 = 0 + -3z
8x = 0 + -3z
Remove the zero:
8x = -3z

Divide each side by '8'.
x = -0.375z

Simplifying
x = -0.375z
Solution
x = {5z, -0.375z}

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