3x^2y+27xy-33y=0

Simple and best practice solution for 3x^2y+27xy-33y=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x^2y+27xy-33y=0 equation: 


Simplifying
3x2y + 27xy + -33y = 0

Reorder the terms:
27xy + 3x2y + -33y = 0

Solving
27xy + 3x2y + -33y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(9x + x2 + -11) = 0

Ignore the factor 3.

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 '(9x + x2 + -11)' equal to zero and attempt to solve:

Simplifying
9x + x2 + -11 = 0

Reorder the terms:
-11 + 9x + x2 = 0

Solving
-11 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '11' to each side of the equation.
-11 + 9x + 11 + x2 = 0 + 11

Reorder the terms:
-11 + 11 + 9x + x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 9x + x2 = 0 + 11
9x + x2 = 0 + 11

Combine like terms: 0 + 11 = 11
9x + x2 = 11

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = 11 + 20.25

Reorder the terms:
20.25 + 9x + x2 = 11 + 20.25

Combine like terms: 11 + 20.25 = 31.25
20.25 + 9x + x2 = 31.25

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = 31.25

Calculate the square root of the right side: 5.590169944

Break this problem into two subproblems by setting 
(x + 4.5) equal to 5.590169944 and -5.590169944.


Subproblem 1
x + 4.5 = 5.590169944

Simplifying
x + 4.5 = 5.590169944

Reorder the terms:
4.5 + x = 5.590169944

Solving
4.5 + x = 5.590169944

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = 5.590169944 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = 5.590169944 + -4.5
x = 5.590169944 + -4.5

Combine like terms: 5.590169944 + -4.5 = 1.090169944
x = 1.090169944

Simplifying
x = 1.090169944


Subproblem 2
x + 4.5 = -5.590169944

Simplifying
x + 4.5 = -5.590169944

Reorder the terms:
4.5 + x = -5.590169944

Solving
4.5 + x = -5.590169944

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + x = -5.590169944 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + x = -5.590169944 + -4.5
x = -5.590169944 + -4.5

Combine like terms: -5.590169944 + -4.5 = -10.090169944
x = -10.090169944

Simplifying
x = -10.090169944


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.090169944, -10.090169944}
Solution
x = {1.090169944, -10.090169944}

See similar equations:

| 7b+18=b | | 2(n-72)=5(n+3n) | | 3y-15=4x | | 5.8x+64=33.64+8x | | 4u^2+16u=0 | | b-4/6=b/3 | | 2x+2(x+10)=48 | | -49a^2+4606a-52000=42080 | | 4x^-2/(4x)^3 | | =0.5x^2+4x+10 | | -(x+3)=-5-x | | 7.1a+11=96.2 | | -32+17x=11x | | -3(2y+2)-12=-4(y+7)+2y | | -5(4n-5)=30 | | 12u^3+33u^2-60u=0 | | -3x+33=9 | | 5x+28(x-3)=147 | | 3(3x+2)=8(x-4) | | 2(3x^2-10x+40)=0 | | 3z+17=2z+8 | | 1-(x)=3x+25 | | 2m+39=9m-3 | | p(-8)=3x^2+x | | -5=2-(10-z) | | p(-8)=3x^2+8 | | 3x+6(-5x+10)=-7 | | X^2+2x=7x+24 | | 22t-10-4t^2=0 | | 298+n=924 | | 3x-2=123 | | 5x+7y=42 |

Equations solver categories