-3x-3y(5x-17)=3

Solution for -3x-3y(5x-17)=3 equation:

Simplifying
-3x + -3y(5x + -17) = 3

Reorder the terms:
-3x + -3y(-17 + 5x) = 3
-3x + (-17 * -3y + 5x * -3y) = 3

Reorder the terms:
-3x + (-15xy + 51y) = 3
-3x + (-15xy + 51y) = 3

Solving
-3x + -15xy + 51y = 3

Solving for variable 'x'.

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

Add '-51y' to each side of the equation.
-3x + -15xy + 51y + -51y = 3 + -51y

Combine like terms: 51y + -51y = 0
-3x + -15xy + 0 = 3 + -51y
-3x + -15xy = 3 + -51y

Reorder the terms:
-3 + -3x + -15xy + 51y = 3 + -51y + -3 + 51y

Reorder the terms:
-3 + -3x + -15xy + 51y = 3 + -3 + -51y + 51y

Combine like terms: 3 + -3 = 0
-3 + -3x + -15xy + 51y = 0 + -51y + 51y
-3 + -3x + -15xy + 51y = -51y + 51y

Combine like terms: -51y + 51y = 0
-3 + -3x + -15xy + 51y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1x + -5xy + 17y) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -1x + -5xy + 17y)' equal to zero and attempt to solve:

Simplifying
-1 + -1x + -5xy + 17y = 0

Solving
-1 + -1x + -5xy + 17y = 0

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

Add '1' to each side of the equation.
-1 + -1x + -5xy + 1 + 17y = 0 + 1

Reorder the terms:
-1 + 1 + -1x + -5xy + 17y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x + -5xy + 17y = 0 + 1
-1x + -5xy + 17y = 0 + 1

Combine like terms: 0 + 1 = 1
-1x + -5xy + 17y = 1

Add '-17y' to each side of the equation.
-1x + -5xy + 17y + -17y = 1 + -17y

Combine like terms: 17y + -17y = 0
-1x + -5xy + 0 = 1 + -17y
-1x + -5xy = 1 + -17y

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.