a(a-6)(3b+18)=0

Simple and best practice solution for a(a-6)(3b+18)=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 a(a-6)(3b+18)=0 equation: 


Simplifying
a(a + -6)(3b + 18) = 0

Reorder the terms:
a(-6 + a)(3b + 18) = 0

Reorder the terms:
a(-6 + a)(18 + 3b) = 0

Multiply (-6 + a) * (18 + 3b)
a(-6(18 + 3b) + a(18 + 3b)) = 0
a((18 * -6 + 3b * -6) + a(18 + 3b)) = 0
a((-108 + -18b) + a(18 + 3b)) = 0
a(-108 + -18b + (18 * a + 3b * a)) = 0
a(-108 + -18b + (18a + 3ab)) = 0

Reorder the terms:
a(-108 + 18a + 3ab + -18b) = 0
a(-108 + 18a + 3ab + -18b) = 0
(-108 * a + 18a * a + 3ab * a + -18b * a) = 0

Reorder the terms:
(-108a + -18ab + 18a2 + 3a2b) = 0
(-108a + -18ab + 18a2 + 3a2b) = 0

Solving
-108a + -18ab + 18a2 + 3a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-36 + -6b + 6a + ab) = 0

Ignore the factor 3.

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 '(-36 + -6b + 6a + ab)' equal to zero and attempt to solve:

Simplifying
-36 + -6b + 6a + ab = 0

Reorder the terms:
-36 + 6a + ab + -6b = 0

Solving
-36 + 6a + ab + -6b = 0

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

Add '36' to each side of the equation.
-36 + 6a + ab + 36 + -6b = 0 + 36

Reorder the terms:
-36 + 36 + 6a + ab + -6b = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 6a + ab + -6b = 0 + 36
6a + ab + -6b = 0 + 36

Combine like terms: 0 + 36 = 36
6a + ab + -6b = 36

Add '6b' to each side of the equation.
6a + ab + -6b + 6b = 36 + 6b

Combine like terms: -6b + 6b = 0
6a + ab + 0 = 36 + 6b
6a + ab = 36 + 6b

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:

| 5(6z-1)-2(z+4)=15(z+1) | | (3a-8)-(a+5)= | | 4(2s)=-2(3s-1) | | 3+2(x-4)=8-3(x-9) | | 9x+11+5=11-12x-13 | | 830=120x-203575 | | x^-5=1/9 | | 4(x-2)=8x-10-4x | | -16k+55=0 | | 24x^2-32x=0 | | 30.6666666667= | | 9=-1/5x | | ay-a=b | | by+zy=a | | 10x+15y=3040 | | xy+zy=a | | 3x-2=4+36 | | 5x-2x=x+36 | | 1.25/0.5 | | 9.9x+64.72=-10.1x+64.20 | | (x-1)4+3=400 | | 3w-3/4 | | -8(t-5)-(t+7)=2 | | -4(t-8)-(t+9)=8 | | 7(3x-1)-12=19x+7 | | 32+7x=8(x+4) | | Q(5+8)-50000=0 | | 4sin^2x+2cos^2x+5sinx=0 | | 2(2x-1)-2(2-2x)=12 | | n(0.82)=-5000in(0.82) | | 12=8x-8 | | 2w^2+14=104 |

Equations solver categories