4x^7-24x^6y-160x^5y^2=0

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Solution for 4x^7-24x^6y-160x^5y^2=0 equation: 


Simplifying
4x7 + -24x6y + -160x5y2 = 0

Reorder the terms:
-160x5y2 + -24x6y + 4x7 = 0

Solving
-160x5y2 + -24x6y + 4x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x5'.
4x5(-40y2 + -6xy + x2) = 0

Factor a trinomial.
4x5((-4y + -1x)(10y + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve:

Simplifying
x5 = 0

Solving
x5 = 0

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

Simplifying
x5 = 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 '(-4y + -1x)' equal to zero and attempt to solve:

Simplifying
-4y + -1x = 0

Reorder the terms:
-1x + -4y = 0

Solving
-1x + -4y = 0

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

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

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

Divide each side by '-1'.
x = -4y

Simplifying
x = -4y

Subproblem 3
Set the factor '(10y + -1x)' equal to zero and attempt to solve:

Simplifying
10y + -1x = 0

Reorder the terms:
-1x + 10y = 0

Solving
-1x + 10y = 0

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

Add '-10y' to each side of the equation.
-1x + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
-1x + 0 = 0 + -10y
-1x = 0 + -10y
Remove the zero:
-1x = -10y

Divide each side by '-1'.
x = 10y

Simplifying
x = 10y
Solution
x = {-4y, 10y}

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