x^2=10xy

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Solution for x^2=10xy equation:


Simplifying
x2 = 10xy

Solving
x2 = 10xy

Solving for variable 'x'.

Reorder the terms:
-10xy + x2 = 10xy + -10xy

Combine like terms: 10xy + -10xy = 0
-10xy + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10y + x) = 0

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 '(-10y + x)' equal to zero and attempt to solve: Simplifying -10y + x = 0 Reorder the terms: x + -10y = 0 Solving x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 x + 0 = 0 + 10y x = 0 + 10y Remove the zero: x = 10y Simplifying x = 10y

Solution

x = {0, 10y}

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