(24x)x(37y)=(42y)x(72y)

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Solution for (24x)x(37y)=(42y)x(72y) equation:


Simplifying
(24x) * x(37y) = (42y) * x(72y)

Remove parenthesis around (24x)
24x * x(37y) = (42y) * x(72y)

Remove parenthesis around (37y)
24x * x * 37y = (42y) * x(72y)

Reorder the terms for easier multiplication:
24 * 37x * x * y = (42y) * x(72y)

Multiply 24 * 37
888x * x * y = (42y) * x(72y)

Multiply x * x
888x2 * y = (42y) * x(72y)

Multiply x2 * y
888x2y = (42y) * x(72y)

Remove parenthesis around (42y)
888x2y = 42y * x(72y)

Remove parenthesis around (72y)
888x2y = 42y * x * 72y

Reorder the terms for easier multiplication:
888x2y = 42 * 72y * x * y

Multiply 42 * 72
888x2y = 3024y * x * y

Multiply y * x
888x2y = 3024xy * y

Multiply xy * y
888x2y = 3024xy2

Solving
888x2y = 3024xy2

Solving for variable 'x'.

Reorder the terms:
-3024xy2 + 888x2y = 3024xy2 + -3024xy2

Combine like terms: 3024xy2 + -3024xy2 = 0
-3024xy2 + 888x2y = 0

Factor out the Greatest Common Factor (GCF), '24xy'.
24xy(-126y + 37x) = 0

Ignore the factor 24.

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-126y + 37x)' equal to zero and attempt to solve: Simplifying -126y + 37x = 0 Reorder the terms: 37x + -126y = 0 Solving 37x + -126y = 0 Move all terms containing x to the left, all other terms to the right. Add '126y' to each side of the equation. 37x + -126y + 126y = 0 + 126y Combine like terms: -126y + 126y = 0 37x + 0 = 0 + 126y 37x = 0 + 126y Remove the zero: 37x = 126y Divide each side by '37'. x = 3.405405405y Simplifying x = 3.405405405y

Solution

x = {3.405405405y}

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