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

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


Simplifying
3x2y(4x + -2y + 1) = 0

Reorder the terms:
3x2y(1 + 4x + -2y) = 0
(1 * 3x2y + 4x * 3x2y + -2y * 3x2y) = 0

Reorder the terms:
(3x2y + -6x2y2 + 12x3y) = 0
(3x2y + -6x2y2 + 12x3y) = 0

Solving
3x2y + -6x2y2 + 12x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y'.
3x2y(1 + -2y + 4x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -2y + 4x)' equal to zero and attempt to solve: Simplifying 1 + -2y + 4x = 0 Reorder the terms: 1 + 4x + -2y = 0 Solving 1 + 4x + -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 + 4x + -1 + -2y = 0 + -1 Reorder the terms: 1 + -1 + 4x + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x + -2y = 0 + -1 4x + -2y = 0 + -1 Combine like terms: 0 + -1 = -1 4x + -2y = -1 Add '2y' to each side of the equation. 4x + -2y + 2y = -1 + 2y Combine like terms: -2y + 2y = 0 4x + 0 = -1 + 2y 4x = -1 + 2y Divide each side by '4'. x = -0.25 + 0.5y Simplifying x = -0.25 + 0.5y

Solution

x = {-0.25 + 0.5y}

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