4x^3y-401x^2y^2+100xy^3=0

Simple and best practice solution for 4x^3y-401x^2y^2+100xy^3=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 4x^3y-401x^2y^2+100xy^3=0 equation: 


Simplifying
4x3y + -401x2y2 + 100xy3 = 0

Reorder the terms:
100xy3 + -401x2y2 + 4x3y = 0

Solving
100xy3 + -401x2y2 + 4x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(100y2 + -401xy + 4x2) = 0

Factor a trinomial.
xy((y + -4x)(100y + -1x)) = 0


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

Simplifying
y + -4x = 0

Reorder the terms:
-4x + y = 0

Solving
-4x + y = 0

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

Add '-1y' to each side of the equation.
-4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-4x + 0 = 0 + -1y
-4x = 0 + -1y
Remove the zero:
-4x = -1y

Divide each side by '-4'.
x = 0.25y

Simplifying
x = 0.25y

Subproblem 3
Set the factor '(100y + -1x)' equal to zero and attempt to solve:

Simplifying
100y + -1x = 0

Reorder the terms:
-1x + 100y = 0

Solving
-1x + 100y = 0

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

Add '-100y' to each side of the equation.
-1x + 100y + -100y = 0 + -100y

Combine like terms: 100y + -100y = 0
-1x + 0 = 0 + -100y
-1x = 0 + -100y
Remove the zero:
-1x = -100y

Divide each side by '-1'.
x = 100y

Simplifying
x = 100y
Solution
x = {0.25y, 100y}

See similar equations:

| 6x^3-20x^2-16x=0 | | 25y^2-100xy+64y^2=0 | | 4a^2-25a+36=0 | | (1.2+x)*0.15=x | | (-2b+3)(-1b+1)=0 | | 5+2x=3+6x | | .6666666667(k-.5)=.1666666667(k-51) | | 4i+7i=11i | | 2x+(X+100)=1907 | | 14a(56b*56c)+22cad= | | -3x-2(7+5)=11-3(2x-3) | | -3x-2(7+5x)=11-3(2x-3) | | x^(7/2)-6x^(7/4)+9=0 | | x^25=169 | | x=3(y-100) | | -5-(2-3x)=-10 | | 81+143+217+272+326+376+413+446+477+510+542+575+607+637+668+699+727+753+780+801+825+848+869+889+913+928= | | 1/4+1 | | -2(3x-1)-3=-7 | | f(x)=x^2+28x | | x+x-8=64 | | 9x^2+9=7x^2-27 | | 7x-15=17+x | | 9/3(6*4/8)=1 | | 4-6a=5a+1 | | 7x-2x-20=40 | | 6x-30=4x+20 | | 8m=10m-6 | | 3/4x-15=16 | | .05X+.01x=.03x*90 | | 25-16+12= | | 3x-218+x-30+.5x+14=180 |

Equations solver categories