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

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


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

Reorder the terms:
3[4a + (-12ab + -8a2) + (8a)(8a)] = 0
3[4a + (-12ab + -8a2) + (8a)(8a)] = 0

Remove parenthesis around (8a)
3[4a + -12ab + -8a2 + 8a(8a)] = 0

Remove parenthesis around (8a)
3[4a + -12ab + -8a2 + 8a * 8a] = 0

Reorder the terms for easier multiplication:
3[4a + -12ab + -8a2 + 8 * 8a * a] = 0

Multiply 8 * 8
3[4a + -12ab + -8a2 + 64a * a] = 0

Multiply a * a
3[4a + -12ab + -8a2 + 64a2] = 0

Combine like terms: -8a2 + 64a2 = 56a2
3[4a + -12ab + 56a2] = 0
[4a * 3 + -12ab * 3 + 56a2 * 3] = 0
[12a + -36ab + 168a2] = 0

Solving
12a + -36ab + 168a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12a'.
12a(1 + -3b + 14a) = 0

Ignore the factor 12.

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 '(1 + -3b + 14a)' equal to zero and attempt to solve:

Simplifying
1 + -3b + 14a = 0

Reorder the terms:
1 + 14a + -3b = 0

Solving
1 + 14a + -3b = 0

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

Add '-1' to each side of the equation.
1 + 14a + -1 + -3b = 0 + -1

Reorder the terms:
1 + -1 + 14a + -3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 14a + -3b = 0 + -1
14a + -3b = 0 + -1

Combine like terms: 0 + -1 = -1
14a + -3b = -1

Add '3b' to each side of the equation.
14a + -3b + 3b = -1 + 3b

Combine like terms: -3b + 3b = 0
14a + 0 = -1 + 3b
14a = -1 + 3b

Divide each side by '14'.
a = -0.07142857143 + 0.2142857143b

Simplifying
a = -0.07142857143 + 0.2142857143b
Solution
a = {0, -0.07142857143 + 0.2142857143b}

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