32a^2b+40b^3=8a^2b^2

Simple and best practice solution for 32a^2b+40b^3=8a^2b^2 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 32a^2b+40b^3=8a^2b^2 equation: 


Simplifying
32a2b + 40b3 = 8a2b2

Solving
32a2b + 40b3 = 8a2b2

Solving for variable 'a'.

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

Add '-8a2b2' to each side of the equation.
32a2b + -8a2b2 + 40b3 = 8a2b2 + -8a2b2

Combine like terms: 8a2b2 + -8a2b2 = 0
32a2b + -8a2b2 + 40b3 = 0

Add '-40b3' to each side of the equation.
32a2b + -8a2b2 + 40b3 + -40b3 = 0 + -40b3

Combine like terms: 40b3 + -40b3 = 0
32a2b + -8a2b2 + 0 = 0 + -40b3
32a2b + -8a2b2 = 0 + -40b3
Remove the zero:
32a2b + -8a2b2 = -40b3

Combine like terms: -40b3 + 40b3 = 0
32a2b + -8a2b2 + 40b3 = 0

Factor out the Greatest Common Factor (GCF), '8b'.
8b(4a2 + -1a2b + 5b2) = 0

Ignore the factor 8.

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

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

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 '(4a2 + -1a2b + 5b2)' equal to zero and attempt to solve:

Simplifying
4a2 + -1a2b + 5b2 = 0

Solving
4a2 + -1a2b + 5b2 = 0

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

Add '-5b2' to each side of the equation.
4a2 + -1a2b + 5b2 + -5b2 = 0 + -5b2

Combine like terms: 5b2 + -5b2 = 0
4a2 + -1a2b + 0 = 0 + -5b2
4a2 + -1a2b = 0 + -5b2
Remove the zero:
4a2 + -1a2b = -5b2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

See similar equations:

| x^2+y^2=290 | | -3x-6(-4)=15 | | v/10=14 | | 3(4c-1)-6=9c+6 | | 3y-6=-2x | | x^2-y^2=290 | | 8x^2+8x-126=0 | | 3t-2=4(t+6) | | 11(4a)= | | 0.5x+2=1.5x-2 | | 4y^2+5=-12y | | 5(y-2)=2y-10 | | 6x+8+1x=29 | | 4(a+5)=2a+12 | | 8b=12b-4 | | 8m^2+49m+6=0 | | p+4p=-15 | | 9z+4z+6z-5= | | 12x^2+13x-4= | | 3*x+5=0 | | 4(x-1)-20=0 | | x^2+x=240 | | -2(-9+20)= | | 8x^2+21=-59 | | -1+8a=10-3a | | 37-19=3(x-4) | | (6+u)(5u+7)=0 | | 4x+18=8x+8 | | 50+5y-19=15y-9-2y | | x-0.5x=1.2 | | 2(4x-8)=3x-36 | | -8-y=-25 |

Equations solver categories