3x(2x-5y+12x)=0

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Solution for 3x(2x-5y+12x)=0 equation: 


Simplifying
3x(2x + -5y + 12x) = 0

Reorder the terms:
3x(2x + 12x + -5y) = 0

Combine like terms: 2x + 12x = 14x
3x(14x + -5y) = 0
(14x * 3x + -5y * 3x) = 0

Reorder the terms:
(-15xy + 42x2) = 0
(-15xy + 42x2) = 0

Solving
-15xy + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-5y + 14x) = 0

Ignore the factor 3.

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 + 14x)' equal to zero and attempt to solve:

Simplifying
-5y + 14x = 0

Reorder the terms:
14x + -5y = 0

Solving
14x + -5y = 0

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

Add '5y' to each side of the equation.
14x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
14x + 0 = 0 + 5y
14x = 0 + 5y
Remove the zero:
14x = 5y

Divide each side by '14'.
x = 0.3571428571y

Simplifying
x = 0.3571428571y
Solution
x = {0, 0.3571428571y}

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