6x^2y-54xy-312y=0

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Solution for 6x^2y-54xy-312y=0 equation: 


Simplifying
6x2y + -54xy + -312y = 0

Reorder the terms:
-54xy + 6x2y + -312y = 0

Solving
-54xy + 6x2y + -312y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-9x + x2 + -52) = 0

Factor a trinomial.
6y((x + -13)(x + 4)) = 0

Ignore the factor 6.

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(x + -13)' equal to zero and attempt to solve:

Simplifying
x + -13 = 0

Reorder the terms:
-13 + x = 0

Solving
-13 + x = 0

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

Add '13' to each side of the equation.
-13 + 13 + x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + x = 0 + 13
x = 0 + 13

Combine like terms: 0 + 13 = 13
x = 13

Simplifying
x = 13

Subproblem 3
Set the factor '(x + 4)' equal to zero and attempt to solve:

Simplifying
x + 4 = 0

Reorder the terms:
4 + x = 0

Solving
4 + x = 0

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

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

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {13, -4}

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