0=6x^2+15xy^3-27xy

Simple and best practice solution for 0=6x^2+15xy^3-27xy 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 0=6x^2+15xy^3-27xy equation: 


Simplifying
0 = 6x2 + 15xy3 + -27xy

Reorder the terms:
0 = -27xy + 15xy3 + 6x2

Solving
0 = -27xy + 15xy3 + 6x2

Solving for variable 'x'.
Remove the zero:
27xy + -15xy3 + -6x2 = -27xy + 15xy3 + 6x2 + 27xy + -15xy3 + -6x2

Reorder the terms:
27xy + -15xy3 + -6x2 = -27xy + 27xy + 15xy3 + -15xy3 + 6x2 + -6x2

Combine like terms: -27xy + 27xy = 0
27xy + -15xy3 + -6x2 = 0 + 15xy3 + -15xy3 + 6x2 + -6x2
27xy + -15xy3 + -6x2 = 15xy3 + -15xy3 + 6x2 + -6x2

Combine like terms: 15xy3 + -15xy3 = 0
27xy + -15xy3 + -6x2 = 0 + 6x2 + -6x2
27xy + -15xy3 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
27xy + -15xy3 + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(9y + -5y3 + -2x) = 0

Ignore the factor 3.

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 '(9y + -5y3 + -2x)' equal to zero and attempt to solve:

Simplifying
9y + -5y3 + -2x = 0

Reorder the terms:
-2x + 9y + -5y3 = 0

Solving
-2x + 9y + -5y3 = 0

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

Add '-9y' to each side of the equation.
-2x + 9y + -9y + -5y3 = 0 + -9y

Combine like terms: 9y + -9y = 0
-2x + 0 + -5y3 = 0 + -9y
-2x + -5y3 = 0 + -9y
Remove the zero:
-2x + -5y3 = -9y

Add '5y3' to each side of the equation.
-2x + -5y3 + 5y3 = -9y + 5y3

Combine like terms: -5y3 + 5y3 = 0
-2x + 0 = -9y + 5y3
-2x = -9y + 5y3

Divide each side by '-2'.
x = 4.5y + -2.5y3

Simplifying
x = 4.5y + -2.5y3
Solution
x = {0, 4.5y + -2.5y3}

See similar equations:

| 4(k+7)=16 | | -37=8v+5(v-8) | | (7x-1)(2x^2-x+3)=0 | | 13x^2+7x-10=0 | | 4sin^2x-4sin+1=0 | | 16d=192 | | -y=2x-52 | | 44+s=9 | | 3*14.666666666+4=48 | | 14=7(y+6)+7y | | 60x^3-34x^2+4x=0 | | -10n+16=-9n-5 | | (3v-7)(8+v)=0 | | 11y-16-15=90 | | 0.3x^2-3.3x+8.4=0 | | 37=(20-4x)/2-7x | | 1/2x=17 | | (3x+27)=(8x-8) | | -x+14=2x+2 | | x+x+x+39=180 | | 40x^3-74x^2+30x=0 | | x^2+x+39=180 | | (2x-1)+x=137 | | 4-14=z/-3 | | -5p-7=38 | | .0825*x=300 | | 0.5x^2-5x+12=0 | | 5d-3=7.2 | | 210xV=14 | | 3y+4y=113 | | 750/x=2/3 | | 3y+4y=105 |

Equations solver categories