6y(3yx+5X)+2w=1

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Solution for 6y(3yx+5X)+2w=1 equation: 


Simplifying
6y(3yx + 5X) + 2w = 1

Reorder the terms:
6y(5X + 3xy) + 2w = 1
(5X * 6y + 3xy * 6y) + 2w = 1

Reorder the terms:
(18xy2 + 30yX) + 2w = 1
(18xy2 + 30yX) + 2w = 1

Reorder the terms:
2w + 18xy2 + 30yX = 1

Solving
2w + 18xy2 + 30yX = 1

Solving for variable 'w'.

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

Add '-18xy2' to each side of the equation.
2w + 18xy2 + -18xy2 + 30yX = 1 + -18xy2

Combine like terms: 18xy2 + -18xy2 = 0
2w + 0 + 30yX = 1 + -18xy2
2w + 30yX = 1 + -18xy2

Add '-30yX' to each side of the equation.
2w + 30yX + -30yX = 1 + -18xy2 + -30yX

Combine like terms: 30yX + -30yX = 0
2w + 0 = 1 + -18xy2 + -30yX
2w = 1 + -18xy2 + -30yX

Divide each side by '2'.
w = 0.5 + -9xy2 + -15yX

Simplifying
w = 0.5 + -9xy2 + -15yX

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