4x(2y-7x)=

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Solution for 4x(2y-7x)= equation: 


Simplifying
4x(2y + -7x) = 0

Reorder the terms:
4x(-7x + 2y) = 0
(-7x * 4x + 2y * 4x) = 0

Reorder the terms:
(8xy + -28x2) = 0
(8xy + -28x2) = 0

Solving
8xy + -28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2y + -7x) = 0

Ignore the factor 4.

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 '(2y + -7x)' equal to zero and attempt to solve:

Simplifying
2y + -7x = 0

Reorder the terms:
-7x + 2y = 0

Solving
-7x + 2y = 0

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

Add '-2y' to each side of the equation.
-7x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
-7x + 0 = 0 + -2y
-7x = 0 + -2y
Remove the zero:
-7x = -2y

Divide each side by '-7'.
x = 0.2857142857y

Simplifying
x = 0.2857142857y
Solution
x = {0, 0.2857142857y}

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