(2y+1)(2x+1)=20090

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Solution for (2y+1)(2x+1)=20090 equation:


Simplifying
(2y + 1)(2x + 1) = 20090

Reorder the terms:
(1 + 2y)(2x + 1) = 20090

Reorder the terms:
(1 + 2y)(1 + 2x) = 20090

Multiply (1 + 2y) * (1 + 2x)
(1(1 + 2x) + 2y * (1 + 2x)) = 20090
((1 * 1 + 2x * 1) + 2y * (1 + 2x)) = 20090
((1 + 2x) + 2y * (1 + 2x)) = 20090
(1 + 2x + (1 * 2y + 2x * 2y)) = 20090

Reorder the terms:
(1 + 2x + (4xy + 2y)) = 20090
(1 + 2x + (4xy + 2y)) = 20090
(1 + 2x + 4xy + 2y) = 20090

Solving
1 + 2x + 4xy + 2y = 20090

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + 2x + 4xy + -1 + 2y = 20090 + -1

Reorder the terms:
1 + -1 + 2x + 4xy + 2y = 20090 + -1

Combine like terms: 1 + -1 = 0
0 + 2x + 4xy + 2y = 20090 + -1
2x + 4xy + 2y = 20090 + -1

Combine like terms: 20090 + -1 = 20089
2x + 4xy + 2y = 20089

Add '-2y' to each side of the equation.
2x + 4xy + 2y + -2y = 20089 + -2y

Combine like terms: 2y + -2y = 0
2x + 4xy + 0 = 20089 + -2y
2x + 4xy = 20089 + -2y

Reorder the terms:
-20089 + 2x + 4xy + 2y = 20089 + -2y + -20089 + 2y

Reorder the terms:
-20089 + 2x + 4xy + 2y = 20089 + -20089 + -2y + 2y

Combine like terms: 20089 + -20089 = 0
-20089 + 2x + 4xy + 2y = 0 + -2y + 2y
-20089 + 2x + 4xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-20089 + 2x + 4xy + 2y = 0

The solution to this equation could not be determined.

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