30x^2+66xy-42xy=0

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Solution for 30x^2+66xy-42xy=0 equation: 


Simplifying
30x2 + 66xy + -42xy = 0

Reorder the terms:
66xy + -42xy + 30x2 = 0

Combine like terms: 66xy + -42xy = 24xy
24xy + 30x2 = 0

Solving
24xy + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4y + 5x) = 0

Ignore the factor 6.

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 '(4y + 5x)' equal to zero and attempt to solve:

Simplifying
4y + 5x = 0

Reorder the terms:
5x + 4y = 0

Solving
5x + 4y = 0

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

Add '-4y' to each side of the equation.
5x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = 0 + -4y
5x = 0 + -4y
Remove the zero:
5x = -4y

Divide each side by '5'.
x = -0.8y

Simplifying
x = -0.8y
Solution
x = {0, -0.8y}

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