2y(5x-7y)-6yX+6=45

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Solution for 2y(5x-7y)-6yX+6=45 equation:


Simplifying
2y(5x + -7y) + -6yX + 6 = 45
(5x * 2y + -7y * 2y) + -6yX + 6 = 45
(10xy + -14y2) + -6yX + 6 = 45

Reorder the terms:
6 + 10xy + -6yX + -14y2 = 45

Solving
6 + 10xy + -6yX + -14y2 = 45

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 10xy + -6yX + -6 + -14y2 = 45 + -6

Reorder the terms:
6 + -6 + 10xy + -6yX + -14y2 = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 10xy + -6yX + -14y2 = 45 + -6
10xy + -6yX + -14y2 = 45 + -6

Combine like terms: 45 + -6 = 39
10xy + -6yX + -14y2 = 39

Add '6yX' to each side of the equation.
10xy + -6yX + 6yX + -14y2 = 39 + 6yX

Combine like terms: -6yX + 6yX = 0
10xy + 0 + -14y2 = 39 + 6yX
10xy + -14y2 = 39 + 6yX

Add '14y2' to each side of the equation.
10xy + -14y2 + 14y2 = 39 + 6yX + 14y2

Combine like terms: -14y2 + 14y2 = 0
10xy + 0 = 39 + 6yX + 14y2
10xy = 39 + 6yX + 14y2

Divide each side by '10y'.
x = 3.9y-1 + 0.6X + 1.4y

Simplifying
x = 3.9y-1 + 0.6X + 1.4y

Reorder the terms:
x = 0.6X + 3.9y-1 + 1.4y

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