(2x+1)(2y+2)=28

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Solution for (2x+1)(2y+2)=28 equation:


Simplifying
(2x + 1)(2y + 2) = 28

Reorder the terms:
(1 + 2x)(2y + 2) = 28

Reorder the terms:
(1 + 2x)(2 + 2y) = 28

Multiply (1 + 2x) * (2 + 2y)
(1(2 + 2y) + 2x * (2 + 2y)) = 28
((2 * 1 + 2y * 1) + 2x * (2 + 2y)) = 28
((2 + 2y) + 2x * (2 + 2y)) = 28
(2 + 2y + (2 * 2x + 2y * 2x)) = 28
(2 + 2y + (4x + 4xy)) = 28

Reorder the terms:
(2 + 4x + 4xy + 2y) = 28
(2 + 4x + 4xy + 2y) = 28

Solving
2 + 4x + 4xy + 2y = 28

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 4x + 4xy + -2 + 2y = 28 + -2

Reorder the terms:
2 + -2 + 4x + 4xy + 2y = 28 + -2

Combine like terms: 2 + -2 = 0
0 + 4x + 4xy + 2y = 28 + -2
4x + 4xy + 2y = 28 + -2

Combine like terms: 28 + -2 = 26
4x + 4xy + 2y = 26

Add '-2y' to each side of the equation.
4x + 4xy + 2y + -2y = 26 + -2y

Combine like terms: 2y + -2y = 0
4x + 4xy + 0 = 26 + -2y
4x + 4xy = 26 + -2y

Reorder the terms:
-26 + 4x + 4xy + 2y = 26 + -2y + -26 + 2y

Reorder the terms:
-26 + 4x + 4xy + 2y = 26 + -26 + -2y + 2y

Combine like terms: 26 + -26 = 0
-26 + 4x + 4xy + 2y = 0 + -2y + 2y
-26 + 4x + 4xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-26 + 4x + 4xy + 2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 2x + 2xy + y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-13 + 2x + 2xy + y)' equal to zero and attempt to solve: Simplifying -13 + 2x + 2xy + y = 0 Solving -13 + 2x + 2xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 2x + 2xy + 13 + y = 0 + 13 Reorder the terms: -13 + 13 + 2x + 2xy + y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2x + 2xy + y = 0 + 13 2x + 2xy + y = 0 + 13 Combine like terms: 0 + 13 = 13 2x + 2xy + y = 13 Add '-1y' to each side of the equation. 2x + 2xy + y + -1y = 13 + -1y Combine like terms: y + -1y = 0 2x + 2xy + 0 = 13 + -1y 2x + 2xy = 13 + -1y 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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