5(x+4)4(y+6)=

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Solution for 5(x+4)4(y+6)= equation:


Simplifying
5(x + 4) * 4(y + 6) = 0

Reorder the terms:
5(4 + x) * 4(y + 6) = 0

Reorder the terms:
5(4 + x) * 4(6 + y) = 0

Reorder the terms for easier multiplication:
5 * 4(4 + x)(6 + y) = 0

Multiply 5 * 4
20(4 + x)(6 + y) = 0

Multiply (4 + x) * (6 + y)
20(4(6 + y) + x(6 + y)) = 0
20((6 * 4 + y * 4) + x(6 + y)) = 0
20((24 + 4y) + x(6 + y)) = 0
20(24 + 4y + (6 * x + y * x)) = 0
20(24 + 4y + (6x + xy)) = 0

Reorder the terms:
20(24 + 6x + xy + 4y) = 0
20(24 + 6x + xy + 4y) = 0
(24 * 20 + 6x * 20 + xy * 20 + 4y * 20) = 0
(480 + 120x + 20xy + 80y) = 0

Solving
480 + 120x + 20xy + 80y = 0

Solving for variable 'x'.

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

Add '-480' to each side of the equation.
480 + 120x + 20xy + -480 + 80y = 0 + -480

Reorder the terms:
480 + -480 + 120x + 20xy + 80y = 0 + -480

Combine like terms: 480 + -480 = 0
0 + 120x + 20xy + 80y = 0 + -480
120x + 20xy + 80y = 0 + -480

Combine like terms: 0 + -480 = -480
120x + 20xy + 80y = -480

Add '-80y' to each side of the equation.
120x + 20xy + 80y + -80y = -480 + -80y

Combine like terms: 80y + -80y = 0
120x + 20xy + 0 = -480 + -80y
120x + 20xy = -480 + -80y

Reorder the terms:
480 + 120x + 20xy + 80y = -480 + -80y + 480 + 80y

Reorder the terms:
480 + 120x + 20xy + 80y = -480 + 480 + -80y + 80y

Combine like terms: -480 + 480 = 0
480 + 120x + 20xy + 80y = 0 + -80y + 80y
480 + 120x + 20xy + 80y = -80y + 80y

Combine like terms: -80y + 80y = 0
480 + 120x + 20xy + 80y = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(24 + 6x + xy + 4y) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(24 + 6x + xy + 4y)' equal to zero and attempt to solve: Simplifying 24 + 6x + xy + 4y = 0 Solving 24 + 6x + xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6x + xy + -24 + 4y = 0 + -24 Reorder the terms: 24 + -24 + 6x + xy + 4y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6x + xy + 4y = 0 + -24 6x + xy + 4y = 0 + -24 Combine like terms: 0 + -24 = -24 6x + xy + 4y = -24 Add '-4y' to each side of the equation. 6x + xy + 4y + -4y = -24 + -4y Combine like terms: 4y + -4y = 0 6x + xy + 0 = -24 + -4y 6x + xy = -24 + -4y 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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