36a^2+12abc-16a^2b^2=0

Simple and best practice solution for 36a^2+12abc-16a^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 36a^2+12abc-16a^2b^2=0 equation: 


Simplifying
36a2 + 12abc + -16a2b2 = 0

Reorder the terms:
12abc + 36a2 + -16a2b2 = 0

Solving
12abc + 36a2 + -16a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(3bc + 9a + -4ab2) = 0

Ignore the factor 4.

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 '(3bc + 9a + -4ab2)' equal to zero and attempt to solve:

Simplifying
3bc + 9a + -4ab2 = 0

Reorder the terms:
9a + -4ab2 + 3bc = 0

Solving
9a + -4ab2 + 3bc = 0

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

Add '-3bc' to each side of the equation.
9a + -4ab2 + 3bc + -3bc = 0 + -3bc

Combine like terms: 3bc + -3bc = 0
9a + -4ab2 + 0 = 0 + -3bc
9a + -4ab2 = 0 + -3bc
Remove the zero:
9a + -4ab2 = -3bc

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:

| 17(89*(-3))=3 | | -12=4w+8 | | y/15=-6 | | 2x+6=7x+22 | | 2*15s=119 | | -11.9x=59.5 | | 2x+8=6x-2y | | 14=3(1x-2)+5 | | 83-4=9x+18 | | 5(y-.5)-y=4(8-y) | | 2y+8=6x-2y | | 5(3+2x)=9(x-5) | | 2y/y+5+10/y+5 | | 0.333333333333333y-4=0.25y | | 6m=32 | | 12x-15=18x+5 | | 5x+12=8-3x | | 24y-2(6-y)=6(x-3) | | 12x^2-75x+18=0 | | x-8=-4x+7 | | 3(2x-4)= | | x^2+6x+2=9 | | y=2(-9)+8 | | 4(y+11)=8 | | 24*3x= | | x-1=2x+8 | | 56/12 | | 8c-5=27 | | -3x-8=6x+10 | | 8c+5=27 | | 0.333333333333333y-4=0.333333333333333y | | x/4=36/23 |

Equations solver categories