x^2-xy+3x^2+4xy=

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


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

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

Combine like terms: -1xy + 4xy = 3xy
3xy + x2 + 3x2 = 0

Combine like terms: x2 + 3x2 = 4x2
3xy + 4x2 = 0

Solving
3xy + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3y + 4x) = 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 '(3y + 4x)' equal to zero and attempt to solve: Simplifying 3y + 4x = 0 Reorder the terms: 4x + 3y = 0 Solving 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75y

Solution

x = {0, -0.75y}

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