(5x-2z)(3x+8z)=

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Solution for (5x-2z)(3x+8z)= equation: 


Simplifying
(5x + -2z)(3x + 8z) = 0

Multiply (5x + -2z) * (3x + 8z)
(5x * (3x + 8z) + -2z * (3x + 8z)) = 0
((3x * 5x + 8z * 5x) + -2z * (3x + 8z)) = 0

Reorder the terms:
((40xz + 15x2) + -2z * (3x + 8z)) = 0
((40xz + 15x2) + -2z * (3x + 8z)) = 0
(40xz + 15x2 + (3x * -2z + 8z * -2z)) = 0
(40xz + 15x2 + (-6xz + -16z2)) = 0

Reorder the terms:
(40xz + -6xz + 15x2 + -16z2) = 0

Combine like terms: 40xz + -6xz = 34xz
(34xz + 15x2 + -16z2) = 0

Solving
34xz + 15x2 + -16z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -2z)(3x + 8z) = 0


Subproblem 1
Set the factor '(5x + -2z)' equal to zero and attempt to solve:

Simplifying
5x + -2z = 0

Solving
5x + -2z = 0

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

Add '2z' to each side of the equation.
5x + -2z + 2z = 0 + 2z

Combine like terms: -2z + 2z = 0
5x + 0 = 0 + 2z
5x = 0 + 2z
Remove the zero:
5x = 2z

Divide each side by '5'.
x = 0.4z

Simplifying
x = 0.4z

Subproblem 2
Set the factor '(3x + 8z)' equal to zero and attempt to solve:

Simplifying
3x + 8z = 0

Solving
3x + 8z = 0

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

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

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

Divide each side by '3'.
x = -2.666666667z

Simplifying
x = -2.666666667z
Solution
x = {0.4z, -2.666666667z}

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