5y(c^2+1)+(c^2+1)(r^2+1)=

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Solution for 5y(c^2+1)+(c^2+1)(r^2+1)= equation: 


Simplifying
5y(c2 + 1) + (c2 + 1)(r2 + 1) = 0

Reorder the terms:
5y(1 + c2) + (c2 + 1)(r2 + 1) = 0
(1 * 5y + c2 * 5y) + (c2 + 1)(r2 + 1) = 0

Reorder the terms:
(5c2y + 5y) + (c2 + 1)(r2 + 1) = 0
(5c2y + 5y) + (c2 + 1)(r2 + 1) = 0

Reorder the terms:
5c2y + 5y + (1 + c2)(r2 + 1) = 0

Reorder the terms:
5c2y + 5y + (1 + c2)(1 + r2) = 0

Multiply (1 + c2) * (1 + r2)
5c2y + 5y + (1(1 + r2) + c2(1 + r2)) = 0
5c2y + 5y + ((1 * 1 + r2 * 1) + c2(1 + r2)) = 0
5c2y + 5y + ((1 + 1r2) + c2(1 + r2)) = 0
5c2y + 5y + (1 + 1r2 + (1 * c2 + r2 * c2)) = 0
5c2y + 5y + (1 + 1r2 + (1c2 + c2r2)) = 0

Reorder the terms:
5c2y + 5y + (1 + 1c2 + c2r2 + 1r2) = 0
5c2y + 5y + (1 + 1c2 + c2r2 + 1r2) = 0

Reorder the terms:
1 + 1c2 + c2r2 + 5c2y + 1r2 + 5y = 0

Solving
1 + 1c2 + c2r2 + 5c2y + 1r2 + 5y = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + 1c2 + c2r2 + 5c2y + 1r2 + -1 + 5y = 0 + -1

Reorder the terms:
1 + -1 + 1c2 + c2r2 + 5c2y + 1r2 + 5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1c2 + c2r2 + 5c2y + 1r2 + 5y = 0 + -1
1c2 + c2r2 + 5c2y + 1r2 + 5y = 0 + -1

Combine like terms: 0 + -1 = -1
1c2 + c2r2 + 5c2y + 1r2 + 5y = -1

Add '-1r2' to each side of the equation.
1c2 + c2r2 + 5c2y + 1r2 + -1r2 + 5y = -1 + -1r2

Combine like terms: 1r2 + -1r2 = 0
1c2 + c2r2 + 5c2y + 0 + 5y = -1 + -1r2
1c2 + c2r2 + 5c2y + 5y = -1 + -1r2

Add '-5y' to each side of the equation.
1c2 + c2r2 + 5c2y + 5y + -5y = -1 + -1r2 + -5y

Combine like terms: 5y + -5y = 0
1c2 + c2r2 + 5c2y + 0 = -1 + -1r2 + -5y
1c2 + c2r2 + 5c2y = -1 + -1r2 + -5y

Reorder the terms:
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = -1 + -1r2 + -5y + 1 + r2 + 5y

Reorder the terms:
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = -1 + 1 + -1r2 + r2 + -5y + 5y

Combine like terms: -1 + 1 = 0
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = 0 + -1r2 + r2 + -5y + 5y
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = -1r2 + r2 + -5y + 5y

Combine like terms: -1r2 + r2 = 0
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = 0 + -5y + 5y
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = -5y + 5y

Combine like terms: -5y + 5y = 0
1 + 1c2 + c2r2 + 5c2y + r2 + 5y = 0

The solution to this equation could not be determined.

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