3[6a-4a(2a+6b)+64a]=

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Solution for 3[6a-4a(2a+6b)+64a]= equation: 


Simplifying
3[6a + -4a(2a + 6b) + 64a] = 0
3[6a + (2a * -4a + 6b * -4a) + 64a] = 0

Reorder the terms:
3[6a + (-24ab + -8a2) + 64a] = 0
3[6a + (-24ab + -8a2) + 64a] = 0

Reorder the terms:
3[6a + 64a + -24ab + -8a2] = 0

Combine like terms: 6a + 64a = 70a
3[70a + -24ab + -8a2] = 0
[70a * 3 + -24ab * 3 + -8a2 * 3] = 0
[210a + -72ab + -24a2] = 0

Solving
210a + -72ab + -24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(35 + -12b + -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 '(35 + -12b + -4a)' equal to zero and attempt to solve:

Simplifying
35 + -12b + -4a = 0

Reorder the terms:
35 + -4a + -12b = 0

Solving
35 + -4a + -12b = 0

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

Add '-35' to each side of the equation.
35 + -4a + -35 + -12b = 0 + -35

Reorder the terms:
35 + -35 + -4a + -12b = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -4a + -12b = 0 + -35
-4a + -12b = 0 + -35

Combine like terms: 0 + -35 = -35
-4a + -12b = -35

Add '12b' to each side of the equation.
-4a + -12b + 12b = -35 + 12b

Combine like terms: -12b + 12b = 0
-4a + 0 = -35 + 12b
-4a = -35 + 12b

Divide each side by '-4'.
a = 8.75 + -3b

Simplifying
a = 8.75 + -3b
Solution
a = {0, 8.75 + -3b}

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