4x(2x-5y)=

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Solution for 4x(2x-5y)= equation: 


Simplifying
4x(2x + -5y) = 0
(2x * 4x + -5y * 4x) = 0

Reorder the terms:
(-20xy + 8x2) = 0
(-20xy + 8x2) = 0

Solving
-20xy + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5y + 2x) = 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 '(-5y + 2x)' equal to zero and attempt to solve:

Simplifying
-5y + 2x = 0

Reorder the terms:
2x + -5y = 0

Solving
2x + -5y = 0

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

Add '5y' to each side of the equation.
2x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2x + 0 = 0 + 5y
2x = 0 + 5y
Remove the zero:
2x = 5y

Divide each side by '2'.
x = 2.5y

Simplifying
x = 2.5y
Solution
x = {0, 2.5y}

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