3[5a-4a(2a+3b)+16a]=

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Solution for 3[5a-4a(2a+3b)+16a]= equation: 


Simplifying
3[5a + -4a(2a + 3b) + 16a] = 0
3[5a + (2a * -4a + 3b * -4a) + 16a] = 0

Reorder the terms:
3[5a + (-12ab + -8a2) + 16a] = 0
3[5a + (-12ab + -8a2) + 16a] = 0

Reorder the terms:
3[5a + 16a + -12ab + -8a2] = 0

Combine like terms: 5a + 16a = 21a
3[21a + -12ab + -8a2] = 0
[21a * 3 + -12ab * 3 + -8a2 * 3] = 0
[63a + -36ab + -24a2] = 0

Solving
63a + -36ab + -24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(21 + -12b + -8a) = 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 '(21 + -12b + -8a)' equal to zero and attempt to solve:

Simplifying
21 + -12b + -8a = 0

Reorder the terms:
21 + -8a + -12b = 0

Solving
21 + -8a + -12b = 0

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

Add '-21' to each side of the equation.
21 + -8a + -21 + -12b = 0 + -21

Reorder the terms:
21 + -21 + -8a + -12b = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -8a + -12b = 0 + -21
-8a + -12b = 0 + -21

Combine like terms: 0 + -21 = -21
-8a + -12b = -21

Add '12b' to each side of the equation.
-8a + -12b + 12b = -21 + 12b

Combine like terms: -12b + 12b = 0
-8a + 0 = -21 + 12b
-8a = -21 + 12b

Divide each side by '-8'.
a = 2.625 + -1.5b

Simplifying
a = 2.625 + -1.5b
Solution
a = {0, 2.625 + -1.5b}

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