8x+2y(5x-y)=-8

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Solution for 8x+2y(5x-y)=-8 equation: 


Simplifying
8x + 2y(5x + -1y) = -8
8x + (5x * 2y + -1y * 2y) = -8
8x + (10xy + -2y2) = -8

Solving
8x + 10xy + -2y2 = -8

Solving for variable 'x'.

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

Add '2y2' to each side of the equation.
8x + 10xy + -2y2 + 2y2 = -8 + 2y2

Combine like terms: -2y2 + 2y2 = 0
8x + 10xy + 0 = -8 + 2y2
8x + 10xy = -8 + 2y2

Reorder the terms:
8 + 8x + 10xy + -2y2 = -8 + 2y2 + 8 + -2y2

Reorder the terms:
8 + 8x + 10xy + -2y2 = -8 + 8 + 2y2 + -2y2

Combine like terms: -8 + 8 = 0
8 + 8x + 10xy + -2y2 = 0 + 2y2 + -2y2
8 + 8x + 10xy + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
8 + 8x + 10xy + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4x + 5xy + -1y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 4x + 5xy + -1y2)' equal to zero and attempt to solve:

Simplifying
4 + 4x + 5xy + -1y2 = 0

Solving
4 + 4x + 5xy + -1y2 = 0

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

Add '-4' to each side of the equation.
4 + 4x + 5xy + -4 + -1y2 = 0 + -4

Reorder the terms:
4 + -4 + 4x + 5xy + -1y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4x + 5xy + -1y2 = 0 + -4
4x + 5xy + -1y2 = 0 + -4

Combine like terms: 0 + -4 = -4
4x + 5xy + -1y2 = -4

Add 'y2' to each side of the equation.
4x + 5xy + -1y2 + y2 = -4 + y2

Combine like terms: -1y2 + y2 = 0
4x + 5xy + 0 = -4 + y2
4x + 5xy = -4 + y2

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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