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

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


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

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

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

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

Multiply (-1 + 2y) * (-3 + 4y)
x(-1(-3 + 4y) + 2y * (-3 + 4y)) = 0
x((-3 * -1 + 4y * -1) + 2y * (-3 + 4y)) = 0
x((3 + -4y) + 2y * (-3 + 4y)) = 0
x(3 + -4y + (-3 * 2y + 4y * 2y)) = 0
x(3 + -4y + (-6y + 8y2)) = 0

Combine like terms: -4y + -6y = -10y
x(3 + -10y + 8y2) = 0
(3 * x + -10y * x + 8y2 * x) = 0
(3x + -10xy + 8xy2) = 0

Solving
3x + -10xy + 8xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -10y + 8y2) = 0

Factor a trinomial.
x((1 + -2y)(3 + -4y)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

Solving
1 + -2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Add '2y' to each side of the equation.
-2y + 2y = -1 + 2y

Combine like terms: -2y + 2y = 0
0 = -1 + 2y

Simplifying
0 = -1 + 2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Add '4y' to each side of the equation.
-4y + 4y = -3 + 4y

Combine like terms: -4y + 4y = 0
0 = -3 + 4y

Simplifying
0 = -3 + 4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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