35a^5+211a^3b^2+6ab^4=0

Simple and best practice solution for 35a^5+211a^3b^2+6ab^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 35a^5+211a^3b^2+6ab^4=0 equation: 


Simplifying
35a5 + 211a3b2 + 6ab4 = 0

Reorder the terms:
6ab4 + 211a3b2 + 35a5 = 0

Solving
6ab4 + 211a3b2 + 35a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(6b4 + 211a2b2 + 35a4) = 0

Factor a trinomial.
a((6b2 + a2)(b2 + 35a2)) = 0


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 '(6b2 + a2)' equal to zero and attempt to solve:

Simplifying
6b2 + a2 = 0

Reorder the terms:
a2 + 6b2 = 0

Solving
a2 + 6b2 = 0

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

Add '-6b2' to each side of the equation.
a2 + 6b2 + -6b2 = 0 + -6b2

Combine like terms: 6b2 + -6b2 = 0
a2 + 0 = 0 + -6b2
a2 = 0 + -6b2
Remove the zero:
a2 = -6b2

Simplifying
a2 = -6b2

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 + 35a2)' equal to zero and attempt to solve:

Simplifying
b2 + 35a2 = 0

Reorder the terms:
35a2 + b2 = 0

Solving
35a2 + b2 = 0

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

Add '-1b2' to each side of the equation.
35a2 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
35a2 + 0 = 0 + -1b2
35a2 = 0 + -1b2
Remove the zero:
35a2 = -1b2

Divide each side by '35'.
a2 = -0.02857142857b2

Simplifying
a2 = -0.02857142857b2

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:

| 1x=85 | | 2(k-14)+4=12 | | 15-q=6 | | 4(v-17)=-4 | | 2-4t=12+4 | | 8g+2=6g | | 7x+a=4a | | 9=3(v-5) | | 136-2x=43x+16 | | 2M-12+3M+15=10 | | -[8z-(14z+5)]=5+(5z+4) | | 9+8lnx=25 | | 3(d+12)=8-4s | | 9+8lnx=9 | | 2(3t+5)=10 | | 6r=3r^2+1 | | 3(t-7)=3 | | 3(s-8)=6 | | -5b+9=-4b+9 | | (8n+6)+8=7(3n-2) | | 2(5-u)=-3(2u+6) | | 9x^3-27x^2=4x-12 | | 2n-3=n-5 | | 3(g-9)=3 | | -9p-4(2-4p)=3(p-3)-35 | | 5(2)-(-9/3)=12 | | (2x+3)(x-7)=2x+kx-21 | | X+38=(10x+9)(7x+1) | | 2g= 1 | | -12x+3y=12 | | 1(20t+20)=15 | | 14n+8.25=9n+19.60 |

Equations solver categories