(16x^5+40x^3y^3+25xy^6)=0

Simple and best practice solution for (16x^5+40x^3y^3+25xy^6)=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 (16x^5+40x^3y^3+25xy^6)=0 equation: 


Simplifying
(16x5 + 40x3y3 + 25xy6) = 0

Reorder the terms:
(25xy6 + 40x3y3 + 16x5) = 0

Remove parenthesis around (25xy6 + 40x3y3 + 16x5)
25xy6 + 40x3y3 + 16x5 = 0

Solving
25xy6 + 40x3y3 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25y6 + 40x2y3 + 16x4) = 0

Factor a trinomial.
x((5y3 + 4x2)(5y3 + 4x2)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5y3 + 4x2)' equal to zero and attempt to solve:

Simplifying
5y3 + 4x2 = 0

Reorder the terms:
4x2 + 5y3 = 0

Solving
4x2 + 5y3 = 0

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

Add '-5y3' to each side of the equation.
4x2 + 5y3 + -5y3 = 0 + -5y3

Combine like terms: 5y3 + -5y3 = 0
4x2 + 0 = 0 + -5y3
4x2 = 0 + -5y3
Remove the zero:
4x2 = -5y3

Divide each side by '4'.
x2 = -1.25y3

Simplifying
x2 = -1.25y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5y3 + 4x2)' equal to zero and attempt to solve:

Simplifying
5y3 + 4x2 = 0

Reorder the terms:
4x2 + 5y3 = 0

Solving
4x2 + 5y3 = 0

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

Add '-5y3' to each side of the equation.
4x2 + 5y3 + -5y3 = 0 + -5y3

Combine like terms: 5y3 + -5y3 = 0
4x2 + 0 = 0 + -5y3
4x2 = 0 + -5y3
Remove the zero:
4x2 = -5y3

Divide each side by '4'.
x2 = -1.25y3

Simplifying
x2 = -1.25y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| 1+4x=1+4x | | a+b+c+d=98 | | 2(m-3)-3=1 | | 3x-7=-3+4x-3x | | x+5y^2=0 | | -x^2=3x+54 | | -6t^6+9t^4-4t^2= | | (3+x)*x=180 | | 1-8n=13-5n | | 16x^5+40x^3y^3+25xy^6=0 | | y=2.2+3 | | 2x^3+13x^2+18x=0 | | 5(3x+7)=5 | | 2x+x-58=124 | | .7x+.1x^2=0 | | .1x+.7x^2=0 | | x^2+y^2+10x-6y+7=5 | | 3z+15=30 | | x^2+x-58=124 | | u^2-u+30=0 | | x^2+x-58=0 | | 8x-7(3-x)=12 | | -9(6x-2)=5(-1) | | 6(5x-5)+4(15-5x)=3(3x+4)-10 | | 500-30*1=130+20*12 | | y-3=-5+3 | | 2x^2-28x-98=0 | | a^2b(a^2+b^2)= | | 6k^3-36k^2= | | (3x+7)-(3+2x)=12 | | -2+2x=3x-4 | | 2w^2-13w+24=0 |

Equations solver categories