5x^2y+40xy-25y=0

Simple and best practice solution for 5x^2y+40xy-25y=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 5x^2y+40xy-25y=0 equation: 


Simplifying
5x2y + 40xy + -25y = 0

Reorder the terms:
40xy + 5x2y + -25y = 0

Solving
40xy + 5x2y + -25y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(8x + x2 + -5) = 0

Ignore the factor 5.

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 '(8x + x2 + -5)' equal to zero and attempt to solve:

Simplifying
8x + x2 + -5 = 0

Reorder the terms:
-5 + 8x + x2 = 0

Solving
-5 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 8x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 8x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 8x + x2 = 0 + 5
8x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
8x + x2 = 5

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 5 + 16

Reorder the terms:
16 + 8x + x2 = 5 + 16

Combine like terms: 5 + 16 = 21
16 + 8x + x2 = 21

Factor a perfect square on the left side:
(x + 4)(x + 4) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + 4) equal to 4.582575695 and -4.582575695.


Subproblem 1
x + 4 = 4.582575695

Simplifying
x + 4 = 4.582575695

Reorder the terms:
4 + x = 4.582575695

Solving
4 + x = 4.582575695

Solving for variable 'x'.

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 = 4.582575695 + -4

Combine like terms: 4 + -4 = 0
0 + x = 4.582575695 + -4
x = 4.582575695 + -4

Combine like terms: 4.582575695 + -4 = 0.582575695
x = 0.582575695

Simplifying
x = 0.582575695


Subproblem 2
x + 4 = -4.582575695

Simplifying
x + 4 = -4.582575695

Reorder the terms:
4 + x = -4.582575695

Solving
4 + x = -4.582575695

Solving for variable 'x'.

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 = -4.582575695 + -4

Combine like terms: 4 + -4 = 0
0 + x = -4.582575695 + -4
x = -4.582575695 + -4

Combine like terms: -4.582575695 + -4 = -8.582575695
x = -8.582575695

Simplifying
x = -8.582575695


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.582575695, -8.582575695}
Solution
x = {0.582575695, -8.582575695}

See similar equations:

| 7N=N-18 | | z-2z+7+6i=0 | | Xyz=6 | | Y-4=-27 | | 4(2x-3)=x-12+17x | | 3x-9+3x=4+6x-12 | | x^2-16xy+39y^2=0 | | z-2z+76i=0 | | log(3x^2)=2log(3x) | | 6x^3+36x^2+30x=0 | | 7y-3y+1=-15 | | 6=20(V) | | 2r-6+5r=3-5(r-2) | | 10x+1=2x-3x | | 2[2x-(3x-2)]=3(x-2) | | (x-8)+(x-8)=360 | | -7-35(5)= | | 5x(4)-9= | | 13.7b-6.5+2.3b=8.3 | | -19x=-133 | | 6=20XV | | 3.5+.3x=4+(800-x)*.3 | | 10x+1=20-3 | | 5x^2-120x+115=0 | | -12x-35=19-10x | | 0=6y+15x-141 | | 2X^3+31X^2+162X-89=0 | | -5c-12-5c=28 | | -19x=133 | | 7z-5z+4z-5z=6 | | 9=7+.25x | | 3/4+4/7a=6/7a+7/8 |

Equations solver categories