(3x-4z)(x-7z)=

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Solution for (3x-4z)(x-7z)= equation: 


Simplifying
(3x + -4z)(x + -7z) = 0

Multiply (3x + -4z) * (x + -7z)
(3x * (x + -7z) + -4z * (x + -7z)) = 0
((x * 3x + -7z * 3x) + -4z * (x + -7z)) = 0

Reorder the terms:
((-21xz + 3x2) + -4z * (x + -7z)) = 0
((-21xz + 3x2) + -4z * (x + -7z)) = 0
(-21xz + 3x2 + (x * -4z + -7z * -4z)) = 0
(-21xz + 3x2 + (-4xz + 28z2)) = 0

Reorder the terms:
(-21xz + -4xz + 3x2 + 28z2) = 0

Combine like terms: -21xz + -4xz = -25xz
(-25xz + 3x2 + 28z2) = 0

Solving
-25xz + 3x2 + 28z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -7z)(3x + -4z) = 0


Subproblem 1
Set the factor '(x + -7z)' equal to zero and attempt to solve:

Simplifying
x + -7z = 0

Solving
x + -7z = 0

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

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

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

Simplifying
x = 7z

Subproblem 2
Set the factor '(3x + -4z)' equal to zero and attempt to solve:

Simplifying
3x + -4z = 0

Solving
3x + -4z = 0

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

Add '4z' to each side of the equation.
3x + -4z + 4z = 0 + 4z

Combine like terms: -4z + 4z = 0
3x + 0 = 0 + 4z
3x = 0 + 4z
Remove the zero:
3x = 4z

Divide each side by '3'.
x = 1.333333333z

Simplifying
x = 1.333333333z
Solution
x = {7z, 1.333333333z}

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