5(x^2+4xy)+10xy=

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Solution for 5(x^2+4xy)+10xy= equation: 


Simplifying
5(x2 + 4xy) + 10xy = 0

Reorder the terms:
5(4xy + x2) + 10xy = 0
(4xy * 5 + x2 * 5) + 10xy = 0
(20xy + 5x2) + 10xy = 0

Reorder the terms:
20xy + 10xy + 5x2 = 0

Combine like terms: 20xy + 10xy = 30xy
30xy + 5x2 = 0

Solving
30xy + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(6y + x) = 0

Ignore the factor 5.

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 '(6y + x)' equal to zero and attempt to solve:

Simplifying
6y + x = 0

Reorder the terms:
x + 6y = 0

Solving
x + 6y = 0

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

Add '-6y' to each side of the equation.
x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
x + 0 = 0 + -6y
x = 0 + -6y
Remove the zero:
x = -6y

Simplifying
x = -6y
Solution
x = {0, -6y}

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