3x(-5-3y)-2y=7

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Solution for 3x(-5-3y)-2y=7 equation: 


Simplifying
3x(-5 + -3y) + -2y = 7
(-5 * 3x + -3y * 3x) + -2y = 7
(-15x + -9xy) + -2y = 7

Solving
-15x + -9xy + -2y = 7

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
-15x + -9xy + -2y + 2y = 7 + 2y

Combine like terms: -2y + 2y = 0
-15x + -9xy + 0 = 7 + 2y
-15x + -9xy = 7 + 2y

Reorder the terms:
-7 + -15x + -9xy + -2y = 7 + 2y + -7 + -2y

Reorder the terms:
-7 + -15x + -9xy + -2y = 7 + -7 + 2y + -2y

Combine like terms: 7 + -7 = 0
-7 + -15x + -9xy + -2y = 0 + 2y + -2y
-7 + -15x + -9xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-7 + -15x + -9xy + -2y = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 15x + 9xy + 2y) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 15x + 9xy + 2y)' equal to zero and attempt to solve:

Simplifying
7 + 15x + 9xy + 2y = 0

Solving
7 + 15x + 9xy + 2y = 0

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

Add '-7' to each side of the equation.
7 + 15x + 9xy + -7 + 2y = 0 + -7

Reorder the terms:
7 + -7 + 15x + 9xy + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 15x + 9xy + 2y = 0 + -7
15x + 9xy + 2y = 0 + -7

Combine like terms: 0 + -7 = -7
15x + 9xy + 2y = -7

Add '-2y' to each side of the equation.
15x + 9xy + 2y + -2y = -7 + -2y

Combine like terms: 2y + -2y = 0
15x + 9xy + 0 = -7 + -2y
15x + 9xy = -7 + -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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