4x*6x+4x*6y+6x*6y=

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Solution for 4x*6x+4x*6y+6x*6y= equation: 


Simplifying
4x * 6x + 4x * 6y + 6x * 6y = 0

Reorder the terms for easier multiplication:
4 * 6x * x + 4x * 6y + 6x * 6y = 0

Multiply 4 * 6
24x * x + 4x * 6y + 6x * 6y = 0

Multiply x * x
24x2 + 4x * 6y + 6x * 6y = 0

Reorder the terms for easier multiplication:
24x2 + 4 * 6x * y + 6x * 6y = 0

Multiply 4 * 6
24x2 + 24x * y + 6x * 6y = 0

Multiply x * y
24x2 + 24xy + 6x * 6y = 0

Reorder the terms for easier multiplication:
24x2 + 24xy + 6 * 6x * y = 0

Multiply 6 * 6
24x2 + 24xy + 36x * y = 0

Multiply x * y
24x2 + 24xy + 36xy = 0

Reorder the terms:
24xy + 36xy + 24x2 = 0

Combine like terms: 24xy + 36xy = 60xy
60xy + 24x2 = 0

Solving
60xy + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(5y + 2x) = 0

Ignore the factor 12.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
5y + 2x = 0

Reorder the terms:
2x + 5y = 0

Solving
2x + 5y = 0

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

Add '-5y' to each side of the equation.
2x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 = 0 + -5y
2x = 0 + -5y
Remove the zero:
2x = -5y

Divide each side by '2'.
x = -2.5y

Simplifying
x = -2.5y
Solution
x = {0, -2.5y}

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