10a^5+211a^3b^2+21ab^4=0

Simple and best practice solution for 10a^5+211a^3b^2+21ab^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 10a^5+211a^3b^2+21ab^4=0 equation: 


Simplifying
10a5 + 211a3b2 + 21ab4 = 0

Reorder the terms:
21ab4 + 211a3b2 + 10a5 = 0

Solving
21ab4 + 211a3b2 + 10a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(21b4 + 211a2b2 + 10a4) = 0

Factor a trinomial.
a((21b2 + a2)(b2 + 10a2)) = 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 '(21b2 + a2)' equal to zero and attempt to solve:

Simplifying
21b2 + a2 = 0

Reorder the terms:
a2 + 21b2 = 0

Solving
a2 + 21b2 = 0

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

Add '-21b2' to each side of the equation.
a2 + 21b2 + -21b2 = 0 + -21b2

Combine like terms: 21b2 + -21b2 = 0
a2 + 0 = 0 + -21b2
a2 = 0 + -21b2
Remove the zero:
a2 = -21b2

Simplifying
a2 = -21b2

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 + 10a2)' equal to zero and attempt to solve:

Simplifying
b2 + 10a2 = 0

Reorder the terms:
10a2 + b2 = 0

Solving
10a2 + b2 = 0

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

Add '-1b2' to each side of the equation.
10a2 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
10a2 + 0 = 0 + -1b2
10a2 = 0 + -1b2
Remove the zero:
10a2 = -1b2

Divide each side by '10'.
a2 = -0.1b2

Simplifying
a2 = -0.1b2

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:

| 8f*2f=0 | | 2.5-8= | | x+(-3y)+9=0 | | 2(x+4)(x+7)=(2x+1)(x-9)-3 | | 4x=440 | | (2x+3)*(2x+3)=x*x+81 | | (X+63)+(x+43)+90=180 | | -16=5(x-4)+9 | | 4j-2k=46 | | 54-2x=9-7x | | 2(x+1)+3x=3 | | a^2+b^2=36 | | 8x+1-9x=4x+3-6x | | -5x+3(2x-11)=-29 | | Ln*x-1+ln*x+2=ln*6x-8 | | 7m-3=2n+62 | | ax-b=8c | | e^3x+4=11 | | 2(2y+8)+5y=-11 | | 4(2x+5)=16 | | p(-10)=6x^2-2x-10 | | 1+sin^2x=cosx^4 | | (2+x)(2x-5)=54 | | (2x^2)-(33x)+(16)=0 | | 5(x-3)=75-5x | | 18w^2+9w-2=0 | | 0.06y+0.08=0.02(y-8) | | 18w^2+18w-7=0 | | 2x+201=11x-6 | | x^2-7x+5=5 | | ln=77 | | 3j+5k=53 |

Equations solver categories