(x-5z)(7x-3z)=

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Solution for (x-5z)(7x-3z)= equation: 


Simplifying
(x + -5z)(7x + -3z) = 0

Multiply (x + -5z) * (7x + -3z)
(x(7x + -3z) + -5z * (7x + -3z)) = 0
((7x * x + -3z * x) + -5z * (7x + -3z)) = 0

Reorder the terms:
((-3xz + 7x2) + -5z * (7x + -3z)) = 0
((-3xz + 7x2) + -5z * (7x + -3z)) = 0
(-3xz + 7x2 + (7x * -5z + -3z * -5z)) = 0
(-3xz + 7x2 + (-35xz + 15z2)) = 0

Reorder the terms:
(-3xz + -35xz + 7x2 + 15z2) = 0

Combine like terms: -3xz + -35xz = -38xz
(-38xz + 7x2 + 15z2) = 0

Solving
-38xz + 7x2 + 15z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -5z)(7x + -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 '(7x + -3z)' equal to zero and attempt to solve:

Simplifying
7x + -3z = 0

Solving
7x + -3z = 0

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

Add '3z' to each side of the equation.
7x + -3z + 3z = 0 + 3z

Combine like terms: -3z + 3z = 0
7x + 0 = 0 + 3z
7x = 0 + 3z
Remove the zero:
7x = 3z

Divide each side by '7'.
x = 0.4285714286z

Simplifying
x = 0.4285714286z
Solution
x = {5z, 0.4285714286z}

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