14xy+2x(3y+2x)=

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Solution for 14xy+2x(3y+2x)= equation: 


Simplifying
14xy + 2x(3y + 2x) = 0

Reorder the terms:
14xy + 2x(2x + 3y) = 0
14xy + (2x * 2x + 3y * 2x) = 0

Reorder the terms:
14xy + (6xy + 4x2) = 0
14xy + (6xy + 4x2) = 0

Combine like terms: 14xy + 6xy = 20xy
20xy + 4x2 = 0

Solving
20xy + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5y + x) = 0

Ignore the factor 4.

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 '(5y + x)' equal to zero and attempt to solve:

Simplifying
5y + x = 0

Reorder the terms:
x + 5y = 0

Solving
x + 5y = 0

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

Add '-5y' to each side of the equation.
x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
x + 0 = 0 + -5y
x = 0 + -5y
Remove the zero:
x = -5y

Simplifying
x = -5y
Solution
x = {0, -5y}

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