6[3a-2a(2a+4b)+4a]=

Simple and best practice solution for 6[3a-2a(2a+4b)+4a]= 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 6[3a-2a(2a+4b)+4a]= equation: 


Simplifying
6[3a + -2a(2a + 4b) + 4a] = 0
6[3a + (2a * -2a + 4b * -2a) + 4a] = 0

Reorder the terms:
6[3a + (-8ab + -4a2) + 4a] = 0
6[3a + (-8ab + -4a2) + 4a] = 0

Reorder the terms:
6[3a + 4a + -8ab + -4a2] = 0

Combine like terms: 3a + 4a = 7a
6[7a + -8ab + -4a2] = 0
[7a * 6 + -8ab * 6 + -4a2 * 6] = 0
[42a + -48ab + -24a2] = 0

Solving
42a + -48ab + -24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(7 + -8b + -4a) = 0

Ignore the factor 6.

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 '(7 + -8b + -4a)' equal to zero and attempt to solve:

Simplifying
7 + -8b + -4a = 0

Reorder the terms:
7 + -4a + -8b = 0

Solving
7 + -4a + -8b = 0

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

Add '-7' to each side of the equation.
7 + -4a + -7 + -8b = 0 + -7

Reorder the terms:
7 + -7 + -4a + -8b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4a + -8b = 0 + -7
-4a + -8b = 0 + -7

Combine like terms: 0 + -7 = -7
-4a + -8b = -7

Add '8b' to each side of the equation.
-4a + -8b + 8b = -7 + 8b

Combine like terms: -8b + 8b = 0
-4a + 0 = -7 + 8b
-4a = -7 + 8b

Divide each side by '-4'.
a = 1.75 + -2b

Simplifying
a = 1.75 + -2b
Solution
a = {0, 1.75 + -2b}

See similar equations:

| 1/2(b) | | 5y=4-7x | | p=11m | | 0.8b=1.2 | | y-x=-57 | | 8x-14=-2x-4 | | 8+2x=-6x+24 | | 2u^2+5u-26-u^2-2u-4=0 | | J=3fx-6zx+7zf | | 3x+4=4x(x-4) | | x/-38+49=48 | | -7/16w-26=-19 | | f-6=-15 | | 4x-(7x-8)=-25 | | 6x^4-12x^3+12x^2+24x=0 | | 0.8xn=0.0056 | | 7w+17=3(w-1) | | (4/x)-(5/3)-(x/6)=0 | | z+13=-20 | | 3x+65+x+x=180 | | 1.5y+x=4 | | P-2a=b | | 16z=0.4z | | 7/4n-1=4/2n-5 | | A^2=-5-6a | | 5x+1-(4/x)=0 | | -8u-9=-4u-5 | | 2m/7+3m/14=4 | | 2/3c=10 | | 8-6(-z-5)=4(4z+1)+7 | | 6(x-9)+8=-46 | | -8(m+1)-m-9=-9(m+5)+28 |

Equations solver categories