2x^2y+8xy-46y=0

Simple and best practice solution for 2x^2y+8xy-46y=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 2x^2y+8xy-46y=0 equation: 


Simplifying
2x2y + 8xy + -46y = 0

Reorder the terms:
8xy + 2x2y + -46y = 0

Solving
8xy + 2x2y + -46y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(4x + x2 + -23) = 0

Ignore the factor 2.

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 '(4x + x2 + -23)' equal to zero and attempt to solve:

Simplifying
4x + x2 + -23 = 0

Reorder the terms:
-23 + 4x + x2 = 0

Solving
-23 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '23' to each side of the equation.
-23 + 4x + 23 + x2 = 0 + 23

Reorder the terms:
-23 + 23 + 4x + x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 4x + x2 = 0 + 23
4x + x2 = 0 + 23

Combine like terms: 0 + 23 = 23
4x + x2 = 23

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 23 + 4

Reorder the terms:
4 + 4x + x2 = 23 + 4

Combine like terms: 23 + 4 = 27
4 + 4x + x2 = 27

Factor a perfect square on the left side:
(x + 2)(x + 2) = 27

Calculate the square root of the right side: 5.196152423

Break this problem into two subproblems by setting 
(x + 2) equal to 5.196152423 and -5.196152423.


Subproblem 1
x + 2 = 5.196152423

Simplifying
x + 2 = 5.196152423

Reorder the terms:
2 + x = 5.196152423

Solving
2 + x = 5.196152423

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 5.196152423 + -2

Combine like terms: 2 + -2 = 0
0 + x = 5.196152423 + -2
x = 5.196152423 + -2

Combine like terms: 5.196152423 + -2 = 3.196152423
x = 3.196152423

Simplifying
x = 3.196152423


Subproblem 2
x + 2 = -5.196152423

Simplifying
x + 2 = -5.196152423

Reorder the terms:
2 + x = -5.196152423

Solving
2 + x = -5.196152423

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -5.196152423 + -2

Combine like terms: 2 + -2 = 0
0 + x = -5.196152423 + -2
x = -5.196152423 + -2

Combine like terms: -5.196152423 + -2 = -7.196152423
x = -7.196152423

Simplifying
x = -7.196152423


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.196152423, -7.196152423}
Solution
x = {3.196152423, -7.196152423}

See similar equations:

| (xy^2+x^2y^2+3)dx+(x^2y)dy=0 | | 14x+9=11+1 | | x^2-16x+86=-8 | | 50+(130-g)+(140-g)=180 | | 1/25x=1 | | 3/9+4/9= | | 2(x+1)+5x=3(x+1)-2 | | x+2(x-6)=-4(x-1) | | 13x+2=11-5 | | 3(y-8)-4=-5(-4y+2)-y | | -10=3m | | x*x*x-3*x*x-3*x-1=0 | | -x/6=3/9 | | -x-12+5x=9-10x+7 | | X+(140-g)+(20+g)+g=290 | | N/-10=3 | | 7u+47=3(u+9) | | X/3=1.8 | | 9-7=8 | | 3x-2(x-5)=7x-4(2x+1) | | 35x-5=x+17 | | -x/6=6/9 | | 5(w-2)-7w=-30 | | x^2-8x+13=-4 | | 2x^7+18x^6+36x^5=0 | | X+22=35x | | 18+19m+m^2=0 | | 1/0*190340 | | -3/8=x/24 | | r^2-6r-83=-10 | | -3n+12-n=40+8 | | 7/10-7=7 |

Equations solver categories