-45x^3y+120x^2y-80xy=0

Simple and best practice solution for -45x^3y+120x^2y-80xy=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 -45x^3y+120x^2y-80xy=0 equation: 


Simplifying
-45x3y + 120x2y + -80xy = 0

Reorder the terms:
-80xy + 120x2y + -45x3y = 0

Solving
-80xy + 120x2y + -45x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy'.
5xy(-16 + 24x + -9x2) = 0

Factor a trinomial.
5xy((-4 + 3x)(4 + -3x)) = 0

Ignore the factor 5.

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 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 3
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.333333333, 1.333333333}

See similar equations:

| (-15cd^4)(-1/3cd^3) | | 5x^2+500= | | -45x^3y+120x^2-80xy=0 | | 4v^3+6v^2=0 | | 75=5x+10 | | y^2+8y=65 | | 0.06y+0.1(100-y)=8 | | (2/3a-5/4b)^2 | | u/3-17=16 | | 2n^2+7n=4 | | 4k^3+8k=0 | | 4k^3+8k=P | | 0.06y+0.10(y+400)=152 | | 2k^2-3=0 | | s^2+49= | | 13.0x-180= | | 6+7x=12+9x | | 3y/2-1=3/4-2y | | 4(y+9)=24 | | 2300+.04x=800+.09x | | 180+40x=1500 | | 1/9m-1=2 | | 1800+.05x=300+.09 | | 80=2x+x-20 | | S(2)=20+3(2) | | 1/9m−1=2 | | 120+.20x=60+.5x | | (8/X)*100=80 | | Y-(-5)=28 | | 0.35p=5.6 | | 4-(x+1)+2x=8 | | 2.3=6.2+y |

Equations solver categories