x(3y+6)-15=6

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Solution for x(3y+6)-15=6 equation:


Simplifying
x(3y + 6) + -15 = 6

Reorder the terms:
x(6 + 3y) + -15 = 6
(6 * x + 3y * x) + -15 = 6
(6x + 3xy) + -15 = 6

Reorder the terms:
-15 + 6x + 3xy = 6

Solving
-15 + 6x + 3xy = 6

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 6x + 15 + 3xy = 6 + 15

Reorder the terms:
-15 + 15 + 6x + 3xy = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 6x + 3xy = 6 + 15
6x + 3xy = 6 + 15

Combine like terms: 6 + 15 = 21
6x + 3xy = 21

Reorder the terms:
-21 + 6x + 3xy = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 6x + 3xy = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + 2x + xy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + 2x + xy)' equal to zero and attempt to solve: Simplifying -7 + 2x + xy = 0 Solving -7 + 2x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2x + 7 + xy = 0 + 7 Reorder the terms: -7 + 7 + 2x + xy = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x + xy = 0 + 7 2x + xy = 0 + 7 Combine like terms: 0 + 7 = 7 2x + xy = 7 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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