3x^2+5xy-6yx-2x^2=

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Solution for 3x^2+5xy-6yx-2x^2= equation:


Simplifying
3x2 + 5xy + -6yx + -2x2 = 0

Reorder the terms:
5xy + -6xy + 3x2 + -2x2 = 0

Combine like terms: 5xy + -6xy = -1xy
-1xy + 3x2 + -2x2 = 0

Combine like terms: 3x2 + -2x2 = 1x2
-1xy + 1x2 = 0

Solving
-1xy + 1x2 = 0

Solving for variable 'x'.

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

Solution

x = {0, y}

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