=5xy^2(y^3-y^2+3x+1)

Simple and best practice solution for =5xy^2(y^3-y^2+3x+1) 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 =5xy^2(y^3-y^2+3x+1) equation: 


Simplifying
0 = 5xy2(y3 + -1y2 + 3x + 1)

Reorder the terms:
0 = 5xy2(1 + 3x + -1y2 + y3)
0 = (1 * 5xy2 + 3x * 5xy2 + -1y2 * 5xy2 + y3 * 5xy2)

Reorder the terms:
0 = (5xy2 + -5xy4 + 5xy5 + 15x2y2)
0 = (5xy2 + -5xy4 + 5xy5 + 15x2y2)

Solving
0 = 5xy2 + -5xy4 + 5xy5 + 15x2y2

Solving for variable 'x'.
Remove the zero:
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 5xy2 + -5xy4 + 5xy5 + 15x2y2 + -5xy2 + 5xy4 + -5xy5 + -15x2y2

Reorder the terms:
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 5xy2 + -5xy2 + -5xy4 + 5xy4 + 5xy5 + -5xy5 + 15x2y2 + -15x2y2

Combine like terms: 5xy2 + -5xy2 = 0
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 0 + -5xy4 + 5xy4 + 5xy5 + -5xy5 + 15x2y2 + -15x2y2
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = -5xy4 + 5xy4 + 5xy5 + -5xy5 + 15x2y2 + -15x2y2

Combine like terms: -5xy4 + 5xy4 = 0
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 0 + 5xy5 + -5xy5 + 15x2y2 + -15x2y2
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 5xy5 + -5xy5 + 15x2y2 + -15x2y2

Combine like terms: 5xy5 + -5xy5 = 0
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 0 + 15x2y2 + -15x2y2
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 15x2y2 + -15x2y2

Combine like terms: 15x2y2 + -15x2y2 = 0
-5xy2 + 5xy4 + -5xy5 + -15x2y2 = 0

Factor out the Greatest Common Factor (GCF), '5xy2'.
5xy2(-1 + y2 + -1y3 + -3x) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(-1 + y2 + -1y3 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + y2 + -1y3 + -3x = 0

Reorder the terms:
-1 + -3x + y2 + -1y3 = 0

Solving
-1 + -3x + y2 + -1y3 = 0

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

Add '1' to each side of the equation.
-1 + -3x + y2 + 1 + -1y3 = 0 + 1

Reorder the terms:
-1 + 1 + -3x + y2 + -1y3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x + y2 + -1y3 = 0 + 1
-3x + y2 + -1y3 = 0 + 1

Combine like terms: 0 + 1 = 1
-3x + y2 + -1y3 = 1

Add '-1y2' to each side of the equation.
-3x + y2 + -1y2 + -1y3 = 1 + -1y2

Combine like terms: y2 + -1y2 = 0
-3x + 0 + -1y3 = 1 + -1y2
-3x + -1y3 = 1 + -1y2

Add 'y3' to each side of the equation.
-3x + -1y3 + y3 = 1 + -1y2 + y3

Combine like terms: -1y3 + y3 = 0
-3x + 0 = 1 + -1y2 + y3
-3x = 1 + -1y2 + y3

Divide each side by '-3'.
x = -0.3333333333 + 0.3333333333y2 + -0.3333333333y3

Simplifying
x = -0.3333333333 + 0.3333333333y2 + -0.3333333333y3
Solution
x = {-0.3333333333 + 0.3333333333y2 + -0.3333333333y3}

See similar equations:

| 12(5)-a=12(5)/12(a) | | 42*X^2-103xy-31*y^2=0 | | 12p-7=3p+7 | | x+2=407 | | 8n^2-3n/n-2 | | 44-x=18 | | 6=2(d+8)-2 | | 44-x=184 | | a/(-3)=15 | | 5x+3(-x-1)=45 | | 5y-2y-7=0 | | 6y=24-12x | | n-42=19 | | (0.75)(5x)-7=8.25 | | 5xy^2(y^3-y^2+3x+1)= | | 5x-4(-3x+2)=-3 | | 14.25=x | | (82n)-164=738 | | 160x^2-480x+360=0 | | 60x^2-112x-135= | | h=5as+10a | | 3z/7-8=-6 | | 4x+y=6fory | | 720x^2+648x-78=0 | | 2(3x+5)-2x=50 | | x*3=x+36 | | x/7-8=8 | | 4/5c=20 | | 16x=6+100 | | 76=4(2x-3) | | x+7=12b-6a | | z/10-4=7 |

Equations solver categories