3x(4x-3y)-5x(6y-x)+2xy=

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Solution for 3x(4x-3y)-5x(6y-x)+2xy= equation: 


Simplifying
3x(4x + -3y) + -5x(6y + -1x) + 2xy = 0
(4x * 3x + -3y * 3x) + -5x(6y + -1x) + 2xy = 0

Reorder the terms:
(-9xy + 12x2) + -5x(6y + -1x) + 2xy = 0
(-9xy + 12x2) + -5x(6y + -1x) + 2xy = 0

Reorder the terms:
-9xy + 12x2 + -5x(-1x + 6y) + 2xy = 0
-9xy + 12x2 + (-1x * -5x + 6y * -5x) + 2xy = 0

Reorder the terms:
-9xy + 12x2 + (-30xy + 5x2) + 2xy = 0
-9xy + 12x2 + (-30xy + 5x2) + 2xy = 0

Reorder the terms:
-9xy + -30xy + 2xy + 12x2 + 5x2 = 0

Combine like terms: -9xy + -30xy = -39xy
-39xy + 2xy + 12x2 + 5x2 = 0

Combine like terms: -39xy + 2xy = -37xy
-37xy + 12x2 + 5x2 = 0

Combine like terms: 12x2 + 5x2 = 17x2
-37xy + 17x2 = 0

Solving
-37xy + 17x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-37y + 17x) = 0


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 '(-37y + 17x)' equal to zero and attempt to solve:

Simplifying
-37y + 17x = 0

Reorder the terms:
17x + -37y = 0

Solving
17x + -37y = 0

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

Add '37y' to each side of the equation.
17x + -37y + 37y = 0 + 37y

Combine like terms: -37y + 37y = 0
17x + 0 = 0 + 37y
17x = 0 + 37y
Remove the zero:
17x = 37y

Divide each side by '17'.
x = 2.176470588y

Simplifying
x = 2.176470588y
Solution
x = {0, 2.176470588y}

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