12x^3+60x^2y+75xy^2=0

Simple and best practice solution for 12x^3+60x^2y+75xy^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 12x^3+60x^2y+75xy^2=0 equation: 


Simplifying
12x3 + 60x2y + 75xy2 = 0

Reorder the terms:
75xy2 + 60x2y + 12x3 = 0

Solving
75xy2 + 60x2y + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(25y2 + 20xy + 4x2) = 0

Factor a trinomial.
3x((5y + 2x)(5y + 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 '(5y + 2x)' equal to zero and attempt to solve:

Simplifying
5y + 2x = 0

Reorder the terms:
2x + 5y = 0

Solving
2x + 5y = 0

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

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

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

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

Simplifying
x = -2.5y

Subproblem 3
Set the factor '(5y + 2x)' equal to zero and attempt to solve:

Simplifying
5y + 2x = 0

Reorder the terms:
2x + 5y = 0

Solving
2x + 5y = 0

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

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

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

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

Simplifying
x = -2.5y
Solution
x = {0, -2.5y, -2.5y}

See similar equations:

| 0.25(8z-4)=z+8 | | 4x-7=3(x-3)-6 | | 4+10(m-6)= | | 3(4x+12)=60 | | 4t+6t=20-13+13 | | -139-3x=113+11x | | 10=5(2)+b | | 3+x=-9+8 | | y=5(2) | | 3(2-3m)-5(4-5m)=11m+6 | | .5(5x+1)=2(2-3x)+5 | | 5x+8=4(x+6)-10 | | 3(w-5)=-15 | | x^2-7x-8= | | 6(3z-1)-5(z+3)=6(z+1) | | 16y^2-16x^2=0 | | 16m-4=4(2p-3) | | 21x^2-29x=0 | | 3(6x+24)=90 | | 6x^3-26x^2+8x=0 | | 21r^2+64r+35=0 | | 3(y+1)=-6(2y-3)+5y | | x^4-3x^2-40=0 | | 5(x-3)-12=31x-261 | | 4(y-8)+2y+5=y+9 | | 4x^2-23x=0 | | 5u-7+3(3u+5)=-2(u+5) | | x^3+4x^2-49x-196=0 | | 4x+1.1=8.3 | | x(7x+4)-2x^2+17x-54=0 | | x^2-6x+14=0 | | 14x-2=-3x-10 |

Equations solver categories