=2x(3x+5y)

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Solution for =2x(3x+5y) equation: 


Simplifying
0 = 2x(3x + 5y)
0 = (3x * 2x + 5y * 2x)

Reorder the terms:
0 = (10xy + 6x2)
0 = (10xy + 6x2)

Solving
0 = 10xy + 6x2

Solving for variable 'x'.
Remove the zero:
-10xy + -6x2 = 10xy + 6x2 + -10xy + -6x2

Reorder the terms:
-10xy + -6x2 = 10xy + -10xy + 6x2 + -6x2

Combine like terms: 10xy + -10xy = 0
-10xy + -6x2 = 0 + 6x2 + -6x2
-10xy + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-10xy + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(5y + 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 '(5y + 3x)' equal to zero and attempt to solve:

Simplifying
5y + 3x = 0

Reorder the terms:
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {0, -1.666666667y}

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