2x(3x+4y)=

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


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

Reorder the terms:
(8xy + 6x2) = 0
(8xy + 6x2) = 0

Solving
8xy + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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 '(4y + 3x)' equal to zero and attempt to solve:

Simplifying
4y + 3x = 0

Reorder the terms:
3x + 4y = 0

Solving
3x + 4y = 0

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

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

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y
Solution
x = {0, -1.333333333y}

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