3x(2+3y)(4x+y)=

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


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

Multiply (2 + 3y) * (4x + y)
3x(2(4x + y) + 3y * (4x + y)) = 0
3x((4x * 2 + y * 2) + 3y * (4x + y)) = 0
3x((8x + 2y) + 3y * (4x + y)) = 0
3x(8x + 2y + (4x * 3y + y * 3y)) = 0
3x(8x + 2y + (12xy + 3y2)) = 0

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

Reorder the terms:
(6xy + 9xy2 + 24x2 + 36x2y) = 0
(6xy + 9xy2 + 24x2 + 36x2y) = 0

Solving
6xy + 9xy2 + 24x2 + 36x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2y + 3y2 + 8x + 12xy) = 0

Ignore the factor 3.

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 '(2y + 3y2 + 8x + 12xy)' equal to zero and attempt to solve: Simplifying 2y + 3y2 + 8x + 12xy = 0 Reorder the terms: 8x + 12xy + 2y + 3y2 = 0 Solving 8x + 12xy + 2y + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 8x + 12xy + 2y + -2y + 3y2 = 0 + -2y Combine like terms: 2y + -2y = 0 8x + 12xy + 0 + 3y2 = 0 + -2y 8x + 12xy + 3y2 = 0 + -2y Remove the zero: 8x + 12xy + 3y2 = -2y Add '-3y2' to each side of the equation. 8x + 12xy + 3y2 + -3y2 = -2y + -3y2 Combine like terms: 3y2 + -3y2 = 0 8x + 12xy + 0 = -2y + -3y2 8x + 12xy = -2y + -3y2 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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