(4y+1)(2y-3x+2)=0

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Solution for (4y+1)(2y-3x+2)=0 equation: 


Simplifying
(4y + 1)(2y + -3x + 2) = 0

Reorder the terms:
(1 + 4y)(2y + -3x + 2) = 0

Reorder the terms:
(1 + 4y)(2 + -3x + 2y) = 0

Multiply (1 + 4y) * (2 + -3x + 2y)
(1(2 + -3x + 2y) + 4y * (2 + -3x + 2y)) = 0
((2 * 1 + -3x * 1 + 2y * 1) + 4y * (2 + -3x + 2y)) = 0
((2 + -3x + 2y) + 4y * (2 + -3x + 2y)) = 0
(2 + -3x + 2y + (2 * 4y + -3x * 4y + 2y * 4y)) = 0

Reorder the terms:
(2 + -3x + 2y + (-12xy + 8y + 8y2)) = 0
(2 + -3x + 2y + (-12xy + 8y + 8y2)) = 0

Reorder the terms:
(2 + -3x + -12xy + 2y + 8y + 8y2) = 0

Combine like terms: 2y + 8y = 10y
(2 + -3x + -12xy + 10y + 8y2) = 0

Solving
2 + -3x + -12xy + 10y + 8y2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -3x + -12xy + 10y + -2 + 8y2 = 0 + -2

Reorder the terms:
2 + -2 + -3x + -12xy + 10y + 8y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x + -12xy + 10y + 8y2 = 0 + -2
-3x + -12xy + 10y + 8y2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3x + -12xy + 10y + 8y2 = -2

Add '-10y' to each side of the equation.
-3x + -12xy + 10y + -10y + 8y2 = -2 + -10y

Combine like terms: 10y + -10y = 0
-3x + -12xy + 0 + 8y2 = -2 + -10y
-3x + -12xy + 8y2 = -2 + -10y

Add '-8y2' to each side of the equation.
-3x + -12xy + 8y2 + -8y2 = -2 + -10y + -8y2

Combine like terms: 8y2 + -8y2 = 0
-3x + -12xy + 0 = -2 + -10y + -8y2
-3x + -12xy = -2 + -10y + -8y2

Reorder the terms:
2 + -3x + -12xy + 10y + 8y2 = -2 + -10y + -8y2 + 2 + 10y + 8y2

Reorder the terms:
2 + -3x + -12xy + 10y + 8y2 = -2 + 2 + -10y + 10y + -8y2 + 8y2

Combine like terms: -2 + 2 = 0
2 + -3x + -12xy + 10y + 8y2 = 0 + -10y + 10y + -8y2 + 8y2
2 + -3x + -12xy + 10y + 8y2 = -10y + 10y + -8y2 + 8y2

Combine like terms: -10y + 10y = 0
2 + -3x + -12xy + 10y + 8y2 = 0 + -8y2 + 8y2
2 + -3x + -12xy + 10y + 8y2 = -8y2 + 8y2

Combine like terms: -8y2 + 8y2 = 0
2 + -3x + -12xy + 10y + 8y2 = 0

The solution to this equation could not be determined.

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