15a^3c^3+25a^2c^4d^2-10a^2c^3d=0

Simple and best practice solution for 15a^3c^3+25a^2c^4d^2-10a^2c^3d=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 15a^3c^3+25a^2c^4d^2-10a^2c^3d=0 equation: 


Simplifying
15a3c3 + 25a2c4d2 + -10a2c3d = 0

Reorder the terms:
-10a2c3d + 25a2c4d2 + 15a3c3 = 0

Solving
-10a2c3d + 25a2c4d2 + 15a3c3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2c3'.
5a2c3(-2d + 5cd2 + 3a) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'a2c3' equal to zero and attempt to solve:

Simplifying
a2c3 = 0

Solving
a2c3 = 0

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

Simplifying
a2c3 = 0

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 '(-2d + 5cd2 + 3a)' equal to zero and attempt to solve:

Simplifying
-2d + 5cd2 + 3a = 0

Reorder the terms:
3a + 5cd2 + -2d = 0

Solving
3a + 5cd2 + -2d = 0

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

Add '-5cd2' to each side of the equation.
3a + 5cd2 + -5cd2 + -2d = 0 + -5cd2

Combine like terms: 5cd2 + -5cd2 = 0
3a + 0 + -2d = 0 + -5cd2
3a + -2d = 0 + -5cd2
Remove the zero:
3a + -2d = -5cd2

Add '2d' to each side of the equation.
3a + -2d + 2d = -5cd2 + 2d

Combine like terms: -2d + 2d = 0
3a + 0 = -5cd2 + 2d
3a = -5cd2 + 2d

Divide each side by '3'.
a = -1.666666667cd2 + 0.6666666667d

Simplifying
a = -1.666666667cd2 + 0.6666666667d
Solution
a = {-1.666666667cd2 + 0.6666666667d}

See similar equations:

| 0-5y=-5 | | -1-5y=-5 | | 5a^2+35a+60=0 | | 2x-10+6x=6 | | 12x+2y=22 | | 15a^2c^3+24a^2c^4d^2-10a^2c^3d=0 | | 4x+4=-16+6h | | 10-x=5x-8 | | -2-5y=-5 | | 4(2x-1)+6=18 | | 5a^2c^3(3a+5cd^2-2d)=0 | | -(-2)+9= | | 9(X-1)=-3X+39 | | 6x+2=7x-26 | | 2+(-14)= | | 136=6x-5(-8-2x) | | 7V+26=3(V-2) | | -5+15= | | -515= | | -2(Y+7)=3Y+21 | | 6(-7x-6)=258 | | 9+(-12)= | | 22+3(x-4)=-2 | | 5x^2-48x-756=0 | | -1-19x=-590 | | X-4x+1=10 | | -(n-1)=-6 | | 90+40+11x-5=180 | | y^4-4y^3+4y^2= | | 29=10-n | | y^4-4y^3-4y^2= | | x^2-50x+168=0 |

Equations solver categories