15x^2y-54xy^2+48y^3=

Simple and best practice solution for 15x^2y-54xy^2+48y^3= 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 15x^2y-54xy^2+48y^3= equation: 


Simplifying
15x2y + -54xy2 + 48y3 = 0

Reorder the terms:
-54xy2 + 15x2y + 48y3 = 0

Solving
-54xy2 + 15x2y + 48y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-18xy + 5x2 + 16y2) = 0

Factor a trinomial.
3y((x + -2y)(5x + -8y)) = 0

Ignore the factor 3.

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

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

Simplifying
x = 2y

Subproblem 3
Set the factor '(5x + -8y)' equal to zero and attempt to solve:

Simplifying
5x + -8y = 0

Solving
5x + -8y = 0

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

Add '8y' to each side of the equation.
5x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
5x + 0 = 0 + 8y
5x = 0 + 8y
Remove the zero:
5x = 8y

Divide each side by '5'.
x = 1.6y

Simplifying
x = 1.6y
Solution
x = {2y, 1.6y}

See similar equations:

| 13q+2(q-4)=97 | | 35n^2-25n-10=0 | | 5m^2+20m^2+20=0 | | 1/2×1/3= | | 20x^4-52x^3+24x^2= | | 50n^2+80n+32=0 | | 4x+16=3x+7 | | 7x^2-12x+14=0 | | 8r+9-6=-28 | | 2x^2+23xy+63y^2=0 | | 80x-320=48x+192 | | h(x)=1/98(x)^2 | | 21y^3-45y^2+6y= | | 5+2(j-7)=-11 | | 12x+1x=12 | | u^2-17uv+72v^2=0 | | 110-3x=42x+15 | | -8(3-6d)=30 | | a^4/a^1/5 | | 24-2x=6-8x | | m-3=64 | | 8(5k-9)=-15 | | p(x)=-250x^2+1250x | | c=x^2-9 | | 2x^5y^3w^7/16x^2w^3y | | 1.6666x=32-x | | 4m^2-23mn-6n^2= | | 48n^2+108n-210=0 | | 3+xi=(x+1)+21 | | X^2-9x=c | | .4(.3x-1)=2+0.75x | | X(x+6)=315 |

Equations solver categories