8y(2x-1)+4(2x-1)=

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Solution for 8y(2x-1)+4(2x-1)= equation:


Simplifying
8y(2x + -1) + 4(2x + -1) = 0

Reorder the terms:
8y(-1 + 2x) + 4(2x + -1) = 0
(-1 * 8y + 2x * 8y) + 4(2x + -1) = 0

Reorder the terms:
(16xy + -8y) + 4(2x + -1) = 0
(16xy + -8y) + 4(2x + -1) = 0

Reorder the terms:
16xy + -8y + 4(-1 + 2x) = 0
16xy + -8y + (-1 * 4 + 2x * 4) = 0
16xy + -8y + (-4 + 8x) = 0

Reorder the terms:
-4 + 8x + 16xy + -8y = 0

Solving
-4 + 8x + 16xy + -8y = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 8x + 16xy + 4 + -8y = 0 + 4

Reorder the terms:
-4 + 4 + 8x + 16xy + -8y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8x + 16xy + -8y = 0 + 4
8x + 16xy + -8y = 0 + 4

Combine like terms: 0 + 4 = 4
8x + 16xy + -8y = 4

Add '8y' to each side of the equation.
8x + 16xy + -8y + 8y = 4 + 8y

Combine like terms: -8y + 8y = 0
8x + 16xy + 0 = 4 + 8y
8x + 16xy = 4 + 8y

Reorder the terms:
-4 + 8x + 16xy + -8y = 4 + 8y + -4 + -8y

Reorder the terms:
-4 + 8x + 16xy + -8y = 4 + -4 + 8y + -8y

Combine like terms: 4 + -4 = 0
-4 + 8x + 16xy + -8y = 0 + 8y + -8y
-4 + 8x + 16xy + -8y = 8y + -8y

Combine like terms: 8y + -8y = 0
-4 + 8x + 16xy + -8y = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + 2x + 4xy + -2y)' equal to zero and attempt to solve: Simplifying -1 + 2x + 4xy + -2y = 0 Solving -1 + 2x + 4xy + -2y = 0 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 = 0 + 1 Reorder the terms: -1 + 1 + 2x + 4xy + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + 4xy + -2y = 0 + 1 2x + 4xy + -2y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + 4xy + -2y = 1 Add '2y' to each side of the equation. 2x + 4xy + -2y + 2y = 1 + 2y Combine like terms: -2y + 2y = 0 2x + 4xy + 0 = 1 + 2y 2x + 4xy = 1 + 2y 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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