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

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


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

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

Reorder the terms:
((-9xz + 24x2) + -5z * (8x + -3z)) = 0
((-9xz + 24x2) + -5z * (8x + -3z)) = 0
(-9xz + 24x2 + (8x * -5z + -3z * -5z)) = 0
(-9xz + 24x2 + (-40xz + 15z2)) = 0

Reorder the terms:
(-9xz + -40xz + 24x2 + 15z2) = 0

Combine like terms: -9xz + -40xz = -49xz
(-49xz + 24x2 + 15z2) = 0

Solving
-49xz + 24x2 + 15z2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(3x + -5z)' equal to zero and attempt to solve:

Simplifying
3x + -5z = 0

Solving
3x + -5z = 0

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

Add '5z' to each side of the equation.
3x + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
3x + 0 = 0 + 5z
3x = 0 + 5z
Remove the zero:
3x = 5z

Divide each side by '3'.
x = 1.666666667z

Simplifying
x = 1.666666667z

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 = {1.666666667z, 0.375z}

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