(.5+.5y)(2y-x+1)=0

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Solution for (.5+.5y)(2y-x+1)=0 equation: 


Simplifying
(0.5 + 0.5y)(2y + -1x + 1) = 0

Reorder the terms:
(0.5 + 0.5y)(1 + -1x + 2y) = 0

Multiply (0.5 + 0.5y) * (1 + -1x + 2y)
(0.5(1 + -1x + 2y) + 0.5y * (1 + -1x + 2y)) = 0
((1 * 0.5 + -1x * 0.5 + 2y * 0.5) + 0.5y * (1 + -1x + 2y)) = 0
((0.5 + -0.5x + 1y) + 0.5y * (1 + -1x + 2y)) = 0
(0.5 + -0.5x + 1y + (1 * 0.5y + -1x * 0.5y + 2y * 0.5y)) = 0

Reorder the terms:
(0.5 + -0.5x + 1y + (-0.5xy + 0.5y + 1y2)) = 0
(0.5 + -0.5x + 1y + (-0.5xy + 0.5y + 1y2)) = 0

Reorder the terms:
(0.5 + -0.5x + -0.5xy + 1y + 0.5y + 1y2) = 0

Combine like terms: 1y + 0.5y = 1.5y
(0.5 + -0.5x + -0.5xy + 1.5y + 1y2) = 0

Solving
0.5 + -0.5x + -0.5xy + 1.5y + 1y2 = 0

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5x + -0.5xy + 1.5y + -0.5 + 1y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5x + -0.5xy + 1.5y + 1y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5x + -0.5xy + 1.5y + 1y2 = 0 + -0.5
-0.5x + -0.5xy + 1.5y + 1y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.5x + -0.5xy + 1.5y + 1y2 = -0.5

Add '-1.5y' to each side of the equation.
-0.5x + -0.5xy + 1.5y + -1.5y + 1y2 = -0.5 + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-0.5x + -0.5xy + 0.0 + 1y2 = -0.5 + -1.5y
-0.5x + -0.5xy + 1y2 = -0.5 + -1.5y

Add '-1y2' to each side of the equation.
-0.5x + -0.5xy + 1y2 + -1y2 = -0.5 + -1.5y + -1y2

Combine like terms: 1y2 + -1y2 = 0
-0.5x + -0.5xy + 0 = -0.5 + -1.5y + -1y2
-0.5x + -0.5xy = -0.5 + -1.5y + -1y2

Reorder the terms:
0.5 + -0.5x + -0.5xy + 1.5y + y2 = -0.5 + -1.5y + -1y2 + 0.5 + 1.5y + y2

Reorder the terms:
0.5 + -0.5x + -0.5xy + 1.5y + y2 = -0.5 + 0.5 + -1.5y + 1.5y + -1y2 + y2

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + -0.5x + -0.5xy + 1.5y + y2 = 0.0 + -1.5y + 1.5y + -1y2 + y2
0.5 + -0.5x + -0.5xy + 1.5y + y2 = -1.5y + 1.5y + -1y2 + y2

Combine like terms: -1.5y + 1.5y = 0.0
0.5 + -0.5x + -0.5xy + 1.5y + y2 = 0.0 + -1y2 + y2
0.5 + -0.5x + -0.5xy + 1.5y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
0.5 + -0.5x + -0.5xy + 1.5y + y2 = 0

The solution to this equation could not be determined.

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