16a^4+4a^3b-6a^2b^2=0

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


Simplifying
16a4 + 4a3b + -6a2b2 = 0

Reorder the terms:
-6a2b2 + 4a3b + 16a4 = 0

Solving
-6a2b2 + 4a3b + 16a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-3b2 + 2ab + 8a2) = 0

Factor a trinomial.
2a2((-3b + -4a)(b + -2a)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(-3b + -4a)' equal to zero and attempt to solve:

Simplifying
-3b + -4a = 0

Reorder the terms:
-4a + -3b = 0

Solving
-4a + -3b = 0

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

Add '3b' to each side of the equation.
-4a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
-4a + 0 = 0 + 3b
-4a = 0 + 3b
Remove the zero:
-4a = 3b

Divide each side by '-4'.
a = -0.75b

Simplifying
a = -0.75b

Subproblem 3
Set the factor '(b + -2a)' equal to zero and attempt to solve:

Simplifying
b + -2a = 0

Reorder the terms:
-2a + b = 0

Solving
-2a + b = 0

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

Add '-1b' to each side of the equation.
-2a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
-2a + 0 = 0 + -1b
-2a = 0 + -1b
Remove the zero:
-2a = -1b

Divide each side by '-2'.
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {0, -0.75b, 0.5b}

See similar equations:

| 8x+9=5x+11 | | 3logx+6=0 | | 9t^3+12t^2-45t=0 | | 152+2h=1040 | | 60x^9y^7-36x^6y^5+36x^3y^2= | | 5-7=0 | | y^2-3y-130=0 | | -8q+6+5q-3=0 | | 850=5(x+18) | | 2x-12=6x+7 | | 9x(2x-7)= | | 3x^2+y+3z^2=0 | | 4(X-7)=4x-12 | | x+(x*.2625)-14026=0 | | x^2+5x+4x+20=0 | | 9b+13=15b-5 | | 8+4(2n+3)-n= | | a^5-18a=7a^3 | | 6x-16x+4=38x | | -2(v+4)=6v-6+3(2v+2) | | 12x^4+60x^3+27x^2=0 | | 3(6x+2)+6(4x+6)+3=42x+46 | | 0.2x+0.1=0.4x-1.5 | | 4*10+15= | | 2x^2-3x+35=0 | | 19x-(9x-3)=83 | | 3(x-3)+1=6x-3(4+x) | | 5p+2q=27 | | 92000=.95X | | 6+3(2n+6)-n= | | 3(4x+1)-5=x-(x+1) | | 0.16(y-4)+0.14y=0.12y-1 |

Equations solver categories