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

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


Simplifying
-3x2(5xy + -3x + 6y) = 0

Reorder the terms:
-3x2(-3x + 5xy + 6y) = 0
(-3x * -3x2 + 5xy * -3x2 + 6y * -3x2) = 0

Reorder the terms:
(-18x2y + 9x3 + -15x3y) = 0
(-18x2y + 9x3 + -15x3y) = 0

Solving
-18x2y + 9x3 + -15x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-6y + 3x + -5xy) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-6y + 3x + -5xy)' equal to zero and attempt to solve:

Simplifying
-6y + 3x + -5xy = 0

Reorder the terms:
3x + -5xy + -6y = 0

Solving
3x + -5xy + -6y = 0

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

Add '6y' to each side of the equation.
3x + -5xy + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
3x + -5xy + 0 = 0 + 6y
3x + -5xy = 0 + 6y
Remove the zero:
3x + -5xy = 6y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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