6(3x^2+6x+4xy)+10xy=

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Solution for 6(3x^2+6x+4xy)+10xy= equation: 


Simplifying
6(3x2 + 6x + 4xy) + 10xy = 0

Reorder the terms:
6(6x + 4xy + 3x2) + 10xy = 0
(6x * 6 + 4xy * 6 + 3x2 * 6) + 10xy = 0
(36x + 24xy + 18x2) + 10xy = 0

Reorder the terms:
36x + 24xy + 10xy + 18x2 = 0

Combine like terms: 24xy + 10xy = 34xy
36x + 34xy + 18x2 = 0

Solving
36x + 34xy + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(18 + 17y + 9x) = 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 '(18 + 17y + 9x)' equal to zero and attempt to solve:

Simplifying
18 + 17y + 9x = 0

Reorder the terms:
18 + 9x + 17y = 0

Solving
18 + 9x + 17y = 0

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

Add '-18' to each side of the equation.
18 + 9x + -18 + 17y = 0 + -18

Reorder the terms:
18 + -18 + 9x + 17y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 9x + 17y = 0 + -18
9x + 17y = 0 + -18

Combine like terms: 0 + -18 = -18
9x + 17y = -18

Add '-17y' to each side of the equation.
9x + 17y + -17y = -18 + -17y

Combine like terms: 17y + -17y = 0
9x + 0 = -18 + -17y
9x = -18 + -17y

Divide each side by '9'.
x = -2 + -1.888888889y

Simplifying
x = -2 + -1.888888889y
Solution
x = {0, -2 + -1.888888889y}

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