6(x+1)y^2+80(x+1)y-56(x+1)=0

Solution for 6(x+1)y^2+80(x+1)y-56(x+1)=0 equation:

Simplifying
6(x + 1) * y2 + 80(x + 1) * y + -56(x + 1) = 0

Reorder the terms:
6(1 + x) * y2 + 80(x + 1) * y + -56(x + 1) = 0

Reorder the terms for easier multiplication:
6y2(1 + x) + 80(x + 1) * y + -56(x + 1) = 0
(1 * 6y2 + x * 6y2) + 80(x + 1) * y + -56(x + 1) = 0

Reorder the terms:
(6xy2 + 6y2) + 80(x + 1) * y + -56(x + 1) = 0
(6xy2 + 6y2) + 80(x + 1) * y + -56(x + 1) = 0

Reorder the terms:
6xy2 + 6y2 + 80(1 + x) * y + -56(x + 1) = 0

Reorder the terms for easier multiplication:
6xy2 + 6y2 + 80y(1 + x) + -56(x + 1) = 0
6xy2 + 6y2 + (1 * 80y + x * 80y) + -56(x + 1) = 0

Reorder the terms:
6xy2 + 6y2 + (80xy + 80y) + -56(x + 1) = 0
6xy2 + 6y2 + (80xy + 80y) + -56(x + 1) = 0

Reorder the terms:
6xy2 + 6y2 + 80xy + 80y + -56(1 + x) = 0
6xy2 + 6y2 + 80xy + 80y + (1 * -56 + x * -56) = 0
6xy2 + 6y2 + 80xy + 80y + (-56 + -56x) = 0

Reorder the terms:
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0

Solving
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + -56x + 80xy + 6xy2 + 80y + 56 + 6y2 = 0 + 56

Reorder the terms:
-56 + 56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0 + 56
-56x + 80xy + 6xy2 + 80y + 6y2 = 0 + 56

Combine like terms: 0 + 56 = 56
-56x + 80xy + 6xy2 + 80y + 6y2 = 56

Add '-80y' to each side of the equation.
-56x + 80xy + 6xy2 + 80y + -80y + 6y2 = 56 + -80y

Combine like terms: 80y + -80y = 0
-56x + 80xy + 6xy2 + 0 + 6y2 = 56 + -80y
-56x + 80xy + 6xy2 + 6y2 = 56 + -80y

Add '-6y2' to each side of the equation.
-56x + 80xy + 6xy2 + 6y2 + -6y2 = 56 + -80y + -6y2

Combine like terms: 6y2 + -6y2 = 0
-56x + 80xy + 6xy2 + 0 = 56 + -80y + -6y2
-56x + 80xy + 6xy2 = 56 + -80y + -6y2

Reorder the terms:
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 56 + -80y + -6y2 + -56 + 80y + 6y2

Reorder the terms:
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 56 + -56 + -80y + 80y + -6y2 + 6y2

Combine like terms: 56 + -56 = 0
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0 + -80y + 80y + -6y2 + 6y2
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = -80y + 80y + -6y2 + 6y2

Combine like terms: -80y + 80y = 0
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0 + -6y2 + 6y2
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
-56 + -56x + 80xy + 6xy2 + 80y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + -28x + 40xy + 3xy2 + 40y + 3y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-28 + -28x + 40xy + 3xy2 + 40y + 3y2)' equal to zero and attempt to solve:

Simplifying
-28 + -28x + 40xy + 3xy2 + 40y + 3y2 = 0

Solving
-28 + -28x + 40xy + 3xy2 + 40y + 3y2 = 0

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

Add '28' to each side of the equation.
-28 + -28x + 40xy + 3xy2 + 40y + 28 + 3y2 = 0 + 28

Reorder the terms:
-28 + 28 + -28x + 40xy + 3xy2 + 40y + 3y2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -28x + 40xy + 3xy2 + 40y + 3y2 = 0 + 28
-28x + 40xy + 3xy2 + 40y + 3y2 = 0 + 28

Combine like terms: 0 + 28 = 28
-28x + 40xy + 3xy2 + 40y + 3y2 = 28

Add '-40y' to each side of the equation.
-28x + 40xy + 3xy2 + 40y + -40y + 3y2 = 28 + -40y

Combine like terms: 40y + -40y = 0
-28x + 40xy + 3xy2 + 0 + 3y2 = 28 + -40y
-28x + 40xy + 3xy2 + 3y2 = 28 + -40y

Add '-3y2' to each side of the equation.
-28x + 40xy + 3xy2 + 3y2 + -3y2 = 28 + -40y + -3y2

Combine like terms: 3y2 + -3y2 = 0
-28x + 40xy + 3xy2 + 0 = 28 + -40y + -3y2
-28x + 40xy + 3xy2 = 28 + -40y + -3y2

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.