6x(7x-6z)=

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Solution for 6x(7x-6z)= equation: 


Simplifying
6x(7x + -6z) = 0
(7x * 6x + -6z * 6x) = 0

Reorder the terms:
(-36xz + 42x2) = 0
(-36xz + 42x2) = 0

Solving
-36xz + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-6z + 7x) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-6z + 7x)' equal to zero and attempt to solve:

Simplifying
-6z + 7x = 0

Reorder the terms:
7x + -6z = 0

Solving
7x + -6z = 0

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

Add '6z' to each side of the equation.
7x + -6z + 6z = 0 + 6z

Combine like terms: -6z + 6z = 0
7x + 0 = 0 + 6z
7x = 0 + 6z
Remove the zero:
7x = 6z

Divide each side by '7'.
x = 0.8571428571z

Simplifying
x = 0.8571428571z
Solution
x = {0, 0.8571428571z}

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