4x-x^2-3xy=0

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Solution for 4x-x^2-3xy=0 equation:


Simplifying
4x + -1x2 + -3xy = 0

Reorder the terms:
4x + -3xy + -1x2 = 0

Solving
4x + -3xy + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -3y + -1x) = 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 '(4 + -3y + -1x)' equal to zero and attempt to solve: Simplifying 4 + -3y + -1x = 0 Reorder the terms: 4 + -1x + -3y = 0 Solving 4 + -1x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1x + -4 + -3y = 0 + -4 Reorder the terms: 4 + -4 + -1x + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + -3y = 0 + -4 -1x + -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + -3y = -4 Add '3y' to each side of the equation. -1x + -3y + 3y = -4 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = -4 + 3y -1x = -4 + 3y Divide each side by '-1'. x = 4 + -3y Simplifying x = 4 + -3y

Solution

x = {0, 4 + -3y}

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