6x^2-21xy=0

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Solution for 6x^2-21xy=0 equation:


Simplifying
6x2 + -21xy = 0

Reorder the terms:
-21xy + 6x2 = 0

Solving
-21xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-7y + 2x) = 0

Ignore the factor 3.

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 '(-7y + 2x)' equal to zero and attempt to solve: Simplifying -7y + 2x = 0 Reorder the terms: 2x + -7y = 0 Solving 2x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 2x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 2x + 0 = 0 + 7y 2x = 0 + 7y Remove the zero: 2x = 7y Divide each side by '2'. x = 3.5y Simplifying x = 3.5y

Solution

x = {0, 3.5y}

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