5x(3-y)+xy-2(6x-5xy)=

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Solution for 5x(3-y)+xy-2(6x-5xy)= equation:


Simplifying
5x(3 + -1y) + xy + -2(6x + -5xy) = 0
(3 * 5x + -1y * 5x) + xy + -2(6x + -5xy) = 0
(15x + -5xy) + xy + -2(6x + -5xy) = 0
15x + -5xy + xy + (6x * -2 + -5xy * -2) = 0
15x + -5xy + xy + (-12x + 10xy) = 0

Reorder the terms:
15x + -12x + -5xy + xy + 10xy = 0

Combine like terms: 15x + -12x = 3x
3x + -5xy + xy + 10xy = 0

Combine like terms: -5xy + xy = -4xy
3x + -4xy + 10xy = 0

Combine like terms: -4xy + 10xy = 6xy
3x + 6xy = 0

Solving
3x + 6xy = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + 2y) = 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 '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Add '-2y' to each side of the equation. 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 0 = -1 + -2y Simplifying 0 = -1 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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