(50d+6)X-6Y=50

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Solution for (50d+6)X-6Y=50 equation:


Simplifying
(50d + 6) * X + -6Y = 50

Reorder the terms:
(6 + 50d) * X + -6Y = 50

Reorder the terms for easier multiplication:
X(6 + 50d) + -6Y = 50
(6 * X + 50d * X) + -6Y = 50
(6X + 50dX) + -6Y = 50

Reorder the terms:
6X + -6Y + 50dX = 50

Solving
6X + -6Y + 50dX = 50

Solving for variable 'X'.

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

Add '6Y' to each side of the equation.
6X + -6Y + 6Y + 50dX = 50 + 6Y

Combine like terms: -6Y + 6Y = 0
6X + 0 + 50dX = 50 + 6Y
6X + 50dX = 50 + 6Y

Reorder the terms:
-50 + 6X + -6Y + 50dX = 50 + 6Y + -50 + -6Y

Reorder the terms:
-50 + 6X + -6Y + 50dX = 50 + -50 + 6Y + -6Y

Combine like terms: 50 + -50 = 0
-50 + 6X + -6Y + 50dX = 0 + 6Y + -6Y
-50 + 6X + -6Y + 50dX = 6Y + -6Y

Combine like terms: 6Y + -6Y = 0
-50 + 6X + -6Y + 50dX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + 3X + -3Y + 25dX) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-25 + 3X + -3Y + 25dX)' equal to zero and attempt to solve: Simplifying -25 + 3X + -3Y + 25dX = 0 Solving -25 + 3X + -3Y + 25dX = 0 Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 3X + -3Y + 25 + 25dX = 0 + 25 Reorder the terms: -25 + 25 + 3X + -3Y + 25dX = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 3X + -3Y + 25dX = 0 + 25 3X + -3Y + 25dX = 0 + 25 Combine like terms: 0 + 25 = 25 3X + -3Y + 25dX = 25 Add '3Y' to each side of the equation. 3X + -3Y + 3Y + 25dX = 25 + 3Y Combine like terms: -3Y + 3Y = 0 3X + 0 + 25dX = 25 + 3Y 3X + 25dX = 25 + 3Y 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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