10x^2y-32xy^2+24y^3=

Simple and best practice solution for 10x^2y-32xy^2+24y^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 10x^2y-32xy^2+24y^3= equation: 


Simplifying
10x2y + -32xy2 + 24y3 = 0

Reorder the terms:
-32xy2 + 10x2y + 24y3 = 0

Solving
-32xy2 + 10x2y + 24y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-16xy + 5x2 + 12y2) = 0

Factor a trinomial.
2y((x + -2y)(5x + -6y)) = 0

Ignore the factor 2.

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 + -6y)' equal to zero and attempt to solve:

Simplifying
5x + -6y = 0

Solving
5x + -6y = 0

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

Add '6y' to each side of the equation.
5x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
5x + 0 = 0 + 6y
5x = 0 + 6y
Remove the zero:
5x = 6y

Divide each side by '5'.
x = 1.2y

Simplifying
x = 1.2y
Solution
x = {2y, 1.2y}

See similar equations:

| y+20=-160 | | a/12=25 | | 7.2=2x | | y=60x+5x^2 | | .2(10000)-.05x=.05(x+10000) | | 2n-8.5=101.5 | | y=5x^2+60x | | .24(24)+.04x=.08(6+x) | | 27x^2y^2-3y^2=0 | | 9x^2y^2-y^2=0 | | 8t^2-10t+1=0 | | 2-8x= | | X^2-7+2x=0 | | 30x^2+63xy-30y^2= | | 586.7=0.3B(22) | | 12y+7a+34r=x | | 3y=11+17x | | -15+(-55)= | | 34x+23=1002 | | 23(5*3)=x | | 0=0.25x^2+2x-8 | | 8x^5+16x^4-20x^3+12x=0 | | -16x^2+70x=0 | | m-1/4=5/8 | | X-.3x=64 | | 6x+60X-105=21 | | 3t+6t+8t= | | (z^-4/4y^5)^-3 | | 1.7t+11.7=3.2 | | 45=-10x+109 | | 3x-45=23 | | in(x+7)+in(x-3)=2inx |

Equations solver categories