21x^4+60x^3y-9x^2y^2=0

Simple and best practice solution for 21x^4+60x^3y-9x^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 21x^4+60x^3y-9x^2y^2=0 equation: 


Simplifying
21x4 + 60x3y + -9x2y2 = 0

Reorder the terms:
-9x2y2 + 60x3y + 21x4 = 0

Solving
-9x2y2 + 60x3y + 21x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-3y2 + 20xy + 7x2) = 0

Factor a trinomial.
3x2((-3y + -1x)(y + -7x)) = 0

Ignore the factor 3.

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 '(-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

Subproblem 3
Set the factor '(y + -7x)' equal to zero and attempt to solve:

Simplifying
y + -7x = 0

Reorder the terms:
-7x + y = 0

Solving
-7x + y = 0

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

Add '-1y' to each side of the equation.
-7x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-7x + 0 = 0 + -1y
-7x = 0 + -1y
Remove the zero:
-7x = -1y

Divide each side by '-7'.
x = 0.1428571429y

Simplifying
x = 0.1428571429y
Solution
x = {0, -3y, 0.1428571429y}

See similar equations:

| 11u-u=120 | | -(19)(-15)= | | 14z-11z=12 | | 8+x/3-3=8x/3-2 | | 3X-10Y=-19 | | 3+2x=-9 | | 9y^2+15y^3=0 | | 42+3b=4-14 | | 15-4y=3y+1 | | .45=25.00 | | 7X-10Y=9 | | (X^2)+14x-72=0 | | 12y^2=35-16y | | 9-4V^2=0 | | 6y+11=3y+15 | | -8+104x-96x^2=0 | | 15(x+y)+5x= | | (1/4x+3)=(3/4-7) | | (-24)+81-(-17)+20= | | 13/2+8/4 | | 9y+5=3y+14 | | 6/(3x1)+5-1=17 | | 5.2q-4.6-7.1q=-.9q-4.6 | | -4[2(x-7)+3]+20=10 | | 3(1+-4n)-2(5n-3)=25 | | x/3-1/3+2 | | 5z=-3[z+7] | | .20+.10+.15x=.35x | | 2/5-1/4 | | 3x^2-7=x^2+1 | | 10x+4y-5x-5x+2y= | | 3[q-2]+2=5q-2q |

Equations solver categories