10x^4-5x^3y-75x^2y^2=0

Simple and best practice solution for 10x^4-5x^3y-75x^2y^2=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 10x^4-5x^3y-75x^2y^2=0 equation: 


Simplifying
10x4 + -5x3y + -75x2y2 = 0

Reorder the terms:
-75x2y2 + -5x3y + 10x4 = 0

Solving
-75x2y2 + -5x3y + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-15y2 + -1xy + 2x2) = 0

Factor a trinomial.
5x2((-5y + -2x)(3y + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-5y + -2x)' equal to zero and attempt to solve:

Simplifying
-5y + -2x = 0

Reorder the terms:
-2x + -5y = 0

Solving
-2x + -5y = 0

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

Add '5y' to each side of the equation.
-2x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
-2x + 0 = 0 + 5y
-2x = 0 + 5y
Remove the zero:
-2x = 5y

Divide each side by '-2'.
x = -2.5y

Simplifying
x = -2.5y

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

Simplifying
3y + -1x = 0

Reorder the terms:
-1x + 3y = 0

Solving
-1x + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
-1x + 0 = 0 + -3y
-1x = 0 + -3y
Remove the zero:
-1x = -3y

Divide each side by '-1'.
x = 3y

Simplifying
x = 3y
Solution
x = {0, -2.5y, 3y}

See similar equations:

| -21=9a-15-13a | | -3y-4(8y+6)=8+8(7-y) | | 7/12d+3=-1/6d | | 2-6d=-70 | | 3+5d=3 | | -3a+7=-8 | | -4a+10=-22 | | 7+3w=43 | | 5k+8=53 | | 4d+3=31 | | -7+4n=-7 | | 4w+1=9 | | 6t+10=82 | | 1/3n-6=-2 | | 3+7b=3 | | -3n+9=12 | | y=.6x-2 | | 7p-5=6+8 | | 7=0.5a-5 | | x^2+10x+25=-64 | | 5-4m=37 | | 6k-2=-2 | | -6-7n=-20 | | -2+2t=0 | | -3t-4=29 | | -5b+2=37 | | 15.5z=-77.5 | | 9-7d=44 | | 2d+8=12 | | 2d-2=-10 | | 6b-5=-5 | | -4k+1=5 |

Equations solver categories