4x^2=20xy

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Solution for 4x^2=20xy equation:


Simplifying
4x2 = 20xy

Solving
4x2 = 20xy

Solving for variable 'x'.

Reorder the terms:
-20xy + 4x2 = 20xy + -20xy

Combine like terms: 20xy + -20xy = 0
-20xy + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5y + x) = 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 + x)' equal to zero and attempt to solve: Simplifying -5y + x = 0 Reorder the terms: x + -5y = 0 Solving x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 x + 0 = 0 + 5y x = 0 + 5y Remove the zero: x = 5y Simplifying x = 5y

Solution

x = {0, 5y}

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