2x^3y+10x^2y-8xy=

Simple and best practice solution for 2x^3y+10x^2y-8xy= 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^3y+10x^2y-8xy= equation: 


Simplifying
2x3y + 10x2y + -8xy = 0

Reorder the terms:
-8xy + 10x2y + 2x3y = 0

Solving
-8xy + 10x2y + 2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-4 + 5x + x2) = 0

Ignore the factor 2.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

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 '(-4 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
-4 + 5x + x2 = 0

Solving
-4 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 5x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 5x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5x + x2 = 0 + 4
5x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
5x + x2 = 4

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 4 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 4 + 6.25

Combine like terms: 4 + 6.25 = 10.25
6.25 + 5x + x2 = 10.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + 2.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
x + 2.5 = 3.201562119

Simplifying
x + 2.5 = 3.201562119

Reorder the terms:
2.5 + x = 3.201562119

Solving
2.5 + x = 3.201562119

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 3.201562119 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 3.201562119 + -2.5
x = 3.201562119 + -2.5

Combine like terms: 3.201562119 + -2.5 = 0.701562119
x = 0.701562119

Simplifying
x = 0.701562119


Subproblem 2
x + 2.5 = -3.201562119

Simplifying
x + 2.5 = -3.201562119

Reorder the terms:
2.5 + x = -3.201562119

Solving
2.5 + x = -3.201562119

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -3.201562119 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -3.201562119 + -2.5
x = -3.201562119 + -2.5

Combine like terms: -3.201562119 + -2.5 = -5.701562119
x = -5.701562119

Simplifying
x = -5.701562119


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.701562119, -5.701562119}
Solution
x = {0.701562119, -5.701562119}

See similar equations:

| -3d+0.33(b+3d)=10 | | 9y+3=8 | | 0=-16t^2+784 | | y=sqrt(x-1)*sqrt(x-1) | | (m-1)(3m+7)=3(m+5)+-12 | | -2(-9x+12)=-2x+7 | | (x)(x-1)=840 | | x^2-8x=2x | | 8x+12=6x+10 | | -2(-9+12)=-2x+7 | | (4+w)(4w+9)=0 | | x^4+3x^3-5x^2-15=0 | | -12x+4y+4x-4y=14 | | 2x^2+14x-2=0 | | 2y^2-12y-x^2+6x+7=0 | | 45000+10x=200+20x | | 8x-4=32x+2 | | 8=2(4-3)+6 | | 144=10x+2 | | -5(x-6)-(3x-7)=-9x | | 6x^2-12x-4y^2-16y-34=0 | | solveuif-9u-5+6u=19 | | 45000+20x=90(500+x) | | 7(n+8)=6n | | 35=6x+11 | | 7n+56=6n | | t-s-m=c | | 3x-4=-9-4x | | sec^2(-i)= | | x^2-2x-6=9 | | 18+6z-18=5z+1 | | 7x+40=5x+25 |

Equations solver categories