16w^4+20w^3b-6w^2b^2=0

Simple and best practice solution for 16w^4+20w^3b-6w^2b^2=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 16w^4+20w^3b-6w^2b^2=0 equation: 


Simplifying
16w4 + 20w3b + -6w2b2 = 0

Reorder the terms:
20bw3 + -6b2w2 + 16w4 = 0

Solving
20bw3 + -6b2w2 + 16w4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2w2'.
2w2(10bw + -3b2 + 8w2) = 0

Factor a trinomial.
2w2((-3b + -2w)(b + -4w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Add '-1w2' to each side of the equation.
w2 + -1w2 = 0 + -1w2
Remove the zero:
0 = -1w2

Simplifying
0 = -1w2

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 '(-3b + -2w)' equal to zero and attempt to solve:

Simplifying
-3b + -2w = 0

Solving
-3b + -2w = 0

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

Add '2w' to each side of the equation.
-3b + -2w + 2w = 0 + 2w

Combine like terms: -2w + 2w = 0
-3b + 0 = 0 + 2w
-3b = 0 + 2w
Remove the zero:
-3b = 2w

Divide each side by '-3'.
b = -0.6666666667w

Simplifying
b = -0.6666666667w

Subproblem 3
Set the factor '(b + -4w)' equal to zero and attempt to solve:

Simplifying
b + -4w = 0

Solving
b + -4w = 0

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

Add '4w' to each side of the equation.
b + -4w + 4w = 0 + 4w

Combine like terms: -4w + 4w = 0
b + 0 = 0 + 4w
b = 0 + 4w
Remove the zero:
b = 4w

Simplifying
b = 4w
Solution
b = {-0.6666666667w, 4w}

See similar equations:

| 3ab-5ab= | | 8x^3=-125 | | 2.3/4= | | -2(3y)= | | 3y^3-9y^2-390y=0 | | 8x+11=12x-1 | | -32+10= | | -7x-2(-2x-10)=56 | | 18x-25x-75=10x+20 | | (11+a)+14= | | 8n-(4n+5)=19 | | 28+4y-12-8x= | | 13.08=2g+3.56 | | 4m^3-12m^2-1512m=0 | | 2(3y)= | | 3y-7=90 | | 18Ax^2-98Ay^2= | | 22=-10x | | 0.18(y-13)+0.08y=0.06y-0.03(30) | | -0.4x+0.5=-2.5x-5.8 | | 9t^2+36=0 | | 1.92g-6=0.72 | | 6x=5x+60 | | 2X+19=6-(5-X) | | 5+(9+b)= | | -7x-2(-2-10)=-28 | | 8x-10+4x-32= | | 9(4)+4m(7)=99(28) | | 4(3-2x)= | | 5y-17=3y-15 | | -3x-6+6(x+1)=7x-6 | | 2t+r=29250 |

Equations solver categories