24a^7+38a^4b^2+8ab^4=0

Simple and best practice solution for 24a^7+38a^4b^2+8ab^4=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 24a^7+38a^4b^2+8ab^4=0 equation: 


Simplifying
24a7 + 38a4b2 + 8ab4 = 0

Reorder the terms:
8ab4 + 38a4b2 + 24a7 = 0

Solving
8ab4 + 38a4b2 + 24a7 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4b4 + 19a3b2 + 12a6) = 0

Factor a trinomial.
2a((4b2 + 3a3)(b2 + 4a3)) = 0

Ignore the factor 2.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(4b2 + 3a3)' equal to zero and attempt to solve:

Simplifying
4b2 + 3a3 = 0

Reorder the terms:
3a3 + 4b2 = 0

Solving
3a3 + 4b2 = 0

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

Add '-4b2' to each side of the equation.
3a3 + 4b2 + -4b2 = 0 + -4b2

Combine like terms: 4b2 + -4b2 = 0
3a3 + 0 = 0 + -4b2
3a3 = 0 + -4b2
Remove the zero:
3a3 = -4b2

Divide each side by '3'.
a3 = -1.333333333b2

Simplifying
a3 = -1.333333333b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(b2 + 4a3)' equal to zero and attempt to solve:

Simplifying
b2 + 4a3 = 0

Reorder the terms:
4a3 + b2 = 0

Solving
4a3 + b2 = 0

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

Add '-1b2' to each side of the equation.
4a3 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
4a3 + 0 = 0 + -1b2
4a3 = 0 + -1b2
Remove the zero:
4a3 = -1b2

Divide each side by '4'.
a3 = -0.25b2

Simplifying
a3 = -0.25b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

See similar equations:

| (x)=x^3-4x^2+3x-5 | | 80w^2-132W+40= | | -(5y+4)-(-4y-8)=-1 | | 250=20-c | | 6p^2-pq-12q^2=0 | | 250=20+c | | 6p^2-ow-12q^2=0 | | 27^(4/3)=(2x-1) | | -0.02x^2+104x-20000=0 | | 27^(4/3)=2x-1 | | (1/x^2-81)-(3/x-9)=(1/x+9) | | 1/2(x+3)=x-3 | | 8x+2+x=1+5x-15 | | 4(d-6)+7= | | 2(x+2)-(x+2)=3x-2 | | 2(x+2)-(x+2)=3x-1 | | q/20=10 | | 2(x+2)-(x+2)=x-1 | | (-5x-1)(2x^2)(x)= | | (2y+9)(y+7)=0 | | 9y^2-15y+6y^3=0 | | 13=3x+7 | | W=ZH-5ZT^2 | | m^4-m^2-2=0 | | 3m-4+6m= | | a+20=55 | | 22-4/3x=2 | | -12x-5y=-1 | | 6a^2b^2+30ab^2= | | 6x-y=-30 | | 2+1/3a=11 | | 6w^2-7w-5=0 |

Equations solver categories