(3x^2)+(4xy)-(x(y))=

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


Simplifying
(3x2) + (4xy) + -1(x(y)) = 0

Multiply x * y
(3x2) + (4xy) + -1(xy) = 0

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

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

Solving
3xy + (3x2) = 0

Solving for variable 'x'.

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

Solution

x = {0, -1y}

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