6x^4+40x^3y-14x^2y^2=0

Simple and best practice solution for 6x^4+40x^3y-14x^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 6x^4+40x^3y-14x^2y^2=0 equation: 


Simplifying
6x4 + 40x3y + -14x2y2 = 0

Reorder the terms:
-14x2y2 + 40x3y + 6x4 = 0

Solving
-14x2y2 + 40x3y + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-7y2 + 20xy + 3x2) = 0

Factor a trinomial.
2x2((-7y + -1x)(y + -3x)) = 0

Ignore the factor 2.

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 '(-7y + -1x)' equal to zero and attempt to solve:

Simplifying
-7y + -1x = 0

Reorder the terms:
-1x + -7y = 0

Solving
-1x + -7y = 0

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

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

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

Divide each side by '-1'.
x = -7y

Simplifying
x = -7y

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

Simplifying
y + -3x = 0

Reorder the terms:
-3x + y = 0

Solving
-3x + y = 0

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

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

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

Divide each side by '-3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y
Solution
x = {0, -7y, 0.3333333333y}

See similar equations:

| 21-4x=12-7x | | 15x=121 | | 2*1/3 | | x-10-4x=-25 | | 3+10+5y=20 | | 3x=2+1 | | 72=2+3a+2a | | 9x+x=9 | | 12x+3=2x+1 | | y+7x=16 | | 3(-25-6+8)= | | -9+5x+x=63 | | 2x+41+127=180 | | 7a-28b/a-4b | | 4(3x+2)(3x+2)=5 | | 46=3w^2+3w | | 5x5/7 | | 6x^2+12x-16=20 | | 15*m=42 | | 2x*2x+2x-12=0 | | -6(v+3)+3v+6=6v+8 | | 54x^2+48x+11=0 | | 315/x=4/16 | | .5x=1.56 | | 6+10x=-94 | | 2[7-6(1-n)]+9=-32+6[6(n+1)-3n] | | 2/7b=1/7 | | 0=2y-3 | | 2sin^2(x)-sin(x)-1=0 | | 4n+16=56 | | X^4+6x-108=0 | | 1/3y≥5 |

Equations solver categories