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

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


Simplifying
(X + 4y)(5x + 6y + -6) = 0

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

Multiply (X + 4y) * (-6 + 5x + 6y)
(X(-6 + 5x + 6y) + 4y * (-6 + 5x + 6y)) = 0
((-6 * X + 5x * X + 6y * X) + 4y * (-6 + 5x + 6y)) = 0
((-6X + 5xX + 6yX) + 4y * (-6 + 5x + 6y)) = 0
(-6X + 5xX + 6yX + (-6 * 4y + 5x * 4y + 6y * 4y)) = 0

Reorder the terms:
(-6X + 5xX + 6yX + (20xy + -24y + 24y2)) = 0
(-6X + 5xX + 6yX + (20xy + -24y + 24y2)) = 0

Reorder the terms:
(-6X + 5xX + 20xy + -24y + 6yX + 24y2) = 0
(-6X + 5xX + 20xy + -24y + 6yX + 24y2) = 0

Solving
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = 0

Solving for variable 'X'.

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

Add '-20xy' to each side of the equation.
-6X + 5xX + 20xy + -24y + 6yX + -20xy + 24y2 = 0 + -20xy

Reorder the terms:
-6X + 5xX + 20xy + -20xy + -24y + 6yX + 24y2 = 0 + -20xy

Combine like terms: 20xy + -20xy = 0
-6X + 5xX + 0 + -24y + 6yX + 24y2 = 0 + -20xy
-6X + 5xX + -24y + 6yX + 24y2 = 0 + -20xy
Remove the zero:
-6X + 5xX + -24y + 6yX + 24y2 = -20xy

Add '24y' to each side of the equation.
-6X + 5xX + -24y + 6yX + 24y + 24y2 = -20xy + 24y

Reorder the terms:
-6X + 5xX + -24y + 24y + 6yX + 24y2 = -20xy + 24y

Combine like terms: -24y + 24y = 0
-6X + 5xX + 0 + 6yX + 24y2 = -20xy + 24y
-6X + 5xX + 6yX + 24y2 = -20xy + 24y

Add '-24y2' to each side of the equation.
-6X + 5xX + 6yX + 24y2 + -24y2 = -20xy + 24y + -24y2

Combine like terms: 24y2 + -24y2 = 0
-6X + 5xX + 6yX + 0 = -20xy + 24y + -24y2
-6X + 5xX + 6yX = -20xy + 24y + -24y2

Reorder the terms:
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = -20xy + 24y + -24y2 + 20xy + -24y + 24y2

Reorder the terms:
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = -20xy + 20xy + 24y + -24y + -24y2 + 24y2

Combine like terms: -20xy + 20xy = 0
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = 0 + 24y + -24y + -24y2 + 24y2
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = 24y + -24y + -24y2 + 24y2

Combine like terms: 24y + -24y = 0
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = 0 + -24y2 + 24y2
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = -24y2 + 24y2

Combine like terms: -24y2 + 24y2 = 0
-6X + 5xX + 20xy + -24y + 6yX + 24y2 = 0

The solution to this equation could not be determined.

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