2x(4x-5y)=

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


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

Reorder the terms:
(-10xy + 8x2) = 0
(-10xy + 8x2) = 0

Solving
-10xy + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5y + 4x) = 0

Ignore the factor 2.

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 + 4x)' equal to zero and attempt to solve:

Simplifying
-5y + 4x = 0

Reorder the terms:
4x + -5y = 0

Solving
4x + -5y = 0

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

Add '5y' to each side of the equation.
4x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 0 + 5y
4x = 0 + 5y
Remove the zero:
4x = 5y

Divide each side by '4'.
x = 1.25y

Simplifying
x = 1.25y
Solution
x = {0, 1.25y}

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