(4x-5z)(8x+3z)=

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Solution for (4x-5z)(8x+3z)= equation: 


Simplifying
(4x + -5z)(8x + 3z) = 0

Multiply (4x + -5z) * (8x + 3z)
(4x * (8x + 3z) + -5z * (8x + 3z)) = 0
((8x * 4x + 3z * 4x) + -5z * (8x + 3z)) = 0

Reorder the terms:
((12xz + 32x2) + -5z * (8x + 3z)) = 0
((12xz + 32x2) + -5z * (8x + 3z)) = 0
(12xz + 32x2 + (8x * -5z + 3z * -5z)) = 0
(12xz + 32x2 + (-40xz + -15z2)) = 0

Reorder the terms:
(12xz + -40xz + 32x2 + -15z2) = 0

Combine like terms: 12xz + -40xz = -28xz
(-28xz + 32x2 + -15z2) = 0

Solving
-28xz + 32x2 + -15z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -5z)(8x + 3z) = 0


Subproblem 1
Set the factor '(4x + -5z)' equal to zero and attempt to solve:

Simplifying
4x + -5z = 0

Solving
4x + -5z = 0

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

Add '5z' to each side of the equation.
4x + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
4x + 0 = 0 + 5z
4x = 0 + 5z
Remove the zero:
4x = 5z

Divide each side by '4'.
x = 1.25z

Simplifying
x = 1.25z

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 = {1.25z, -0.375z}

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