3[6a-4a(2a+4b)+8a]=

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Solution for 3[6a-4a(2a+4b)+8a]= equation: 


Simplifying
3[6a + -4a(2a + 4b) + 8a] = 0
3[6a + (2a * -4a + 4b * -4a) + 8a] = 0

Reorder the terms:
3[6a + (-16ab + -8a2) + 8a] = 0
3[6a + (-16ab + -8a2) + 8a] = 0

Reorder the terms:
3[6a + 8a + -16ab + -8a2] = 0

Combine like terms: 6a + 8a = 14a
3[14a + -16ab + -8a2] = 0
[14a * 3 + -16ab * 3 + -8a2 * 3] = 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}

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