(x^2-3x)*(2xy-3y)=

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Solution for (x^2-3x)*(2xy-3y)= equation: 


Simplifying
(x2 + -3x)(2xy + -3y) = 0

Reorder the terms:
(-3x + x2)(2xy + -3y) = 0

Multiply (-3x + x2) * (2xy + -3y)
(-3x * (2xy + -3y) + x2(2xy + -3y)) = 0
((2xy * -3x + -3y * -3x) + x2(2xy + -3y)) = 0

Reorder the terms:
((9xy + -6x2y) + x2(2xy + -3y)) = 0
((9xy + -6x2y) + x2(2xy + -3y)) = 0
(9xy + -6x2y + (2xy * x2 + -3y * x2)) = 0

Reorder the terms:
(9xy + -6x2y + (-3x2y + 2x3y)) = 0
(9xy + -6x2y + (-3x2y + 2x3y)) = 0

Combine like terms: -6x2y + -3x2y = -9x2y
(9xy + -9x2y + 2x3y) = 0

Solving
9xy + -9x2y + 2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(9 + -9x + 2x2) = 0

Factor a trinomial.
xy((3 + -2x)(3 + -1x)) = 0


Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.5, 3}

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