3x(7x-8y)=

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Solution for 3x(7x-8y)= equation: 


Simplifying
3x(7x + -8y) = 0
(7x * 3x + -8y * 3x) = 0

Reorder the terms:
(-24xy + 21x2) = 0
(-24xy + 21x2) = 0

Solving
-24xy + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8y + 7x) = 0

Ignore the factor 3.

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 '(-8y + 7x)' equal to zero and attempt to solve:

Simplifying
-8y + 7x = 0

Reorder the terms:
7x + -8y = 0

Solving
7x + -8y = 0

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

Add '8y' to each side of the equation.
7x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
7x + 0 = 0 + 8y
7x = 0 + 8y
Remove the zero:
7x = 8y

Divide each side by '7'.
x = 1.142857143y

Simplifying
x = 1.142857143y
Solution
x = {0, 1.142857143y}

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