-6(2x+1)=y(2+x)

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Solution for -6(2x+1)=y(2+x) equation:


Simplifying
-6(2x + 1) = y(2 + x)

Reorder the terms:
-6(1 + 2x) = y(2 + x)
(1 * -6 + 2x * -6) = y(2 + x)
(-6 + -12x) = y(2 + x)
-6 + -12x = (2 * y + x * y)

Reorder the terms:
-6 + -12x = (xy + 2y)
-6 + -12x = (xy + 2y)

Solving
-6 + -12x = xy + 2y

Solving for variable 'x'.

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

Add '-1xy' to each side of the equation.
-6 + -12x + -1xy = xy + -1xy + 2y

Combine like terms: xy + -1xy = 0
-6 + -12x + -1xy = 0 + 2y
-6 + -12x + -1xy = 2y

Add '6' to each side of the equation.
-6 + -12x + 6 + -1xy = 6 + 2y

Reorder the terms:
-6 + 6 + -12x + -1xy = 6 + 2y

Combine like terms: -6 + 6 = 0
0 + -12x + -1xy = 6 + 2y
-12x + -1xy = 6 + 2y

Reorder the terms:
-6 + -12x + -1xy + -2y = 6 + 2y + -6 + -2y

Reorder the terms:
-6 + -12x + -1xy + -2y = 6 + -6 + 2y + -2y

Combine like terms: 6 + -6 = 0
-6 + -12x + -1xy + -2y = 0 + 2y + -2y
-6 + -12x + -1xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + -12x + -1xy + -2y = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 12x + xy + 2y) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(6 + 12x + xy + 2y)' equal to zero and attempt to solve: Simplifying 6 + 12x + xy + 2y = 0 Solving 6 + 12x + xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 12x + xy + -6 + 2y = 0 + -6 Reorder the terms: 6 + -6 + 12x + xy + 2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12x + xy + 2y = 0 + -6 12x + xy + 2y = 0 + -6 Combine like terms: 0 + -6 = -6 12x + xy + 2y = -6 Add '-2y' to each side of the equation. 12x + xy + 2y + -2y = -6 + -2y Combine like terms: 2y + -2y = 0 12x + xy + 0 = -6 + -2y 12x + xy = -6 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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