2(2a-2a(3a+5b)+6a)=

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Solution for 2(2a-2a(3a+5b)+6a)= equation: 


Simplifying
2(2a + -2a(3a + 5b) + 6a) = 0
2(2a + (3a * -2a + 5b * -2a) + 6a) = 0

Reorder the terms:
2(2a + (-10ab + -6a2) + 6a) = 0
2(2a + (-10ab + -6a2) + 6a) = 0

Reorder the terms:
2(2a + 6a + -10ab + -6a2) = 0

Combine like terms: 2a + 6a = 8a
2(8a + -10ab + -6a2) = 0
(8a * 2 + -10ab * 2 + -6a2 * 2) = 0
(16a + -20ab + -12a2) = 0

Solving
16a + -20ab + -12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(4 + -5b + -3a) = 0

Ignore the factor 4.

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 '(4 + -5b + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -5b + -3a = 0

Reorder the terms:
4 + -3a + -5b = 0

Solving
4 + -3a + -5b = 0

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

Add '-4' to each side of the equation.
4 + -3a + -4 + -5b = 0 + -4

Reorder the terms:
4 + -4 + -3a + -5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a + -5b = 0 + -4
-3a + -5b = 0 + -4

Combine like terms: 0 + -4 = -4
-3a + -5b = -4

Add '5b' to each side of the equation.
-3a + -5b + 5b = -4 + 5b

Combine like terms: -5b + 5b = 0
-3a + 0 = -4 + 5b
-3a = -4 + 5b

Divide each side by '-3'.
a = 1.333333333 + -1.666666667b

Simplifying
a = 1.333333333 + -1.666666667b
Solution
a = {0, 1.333333333 + -1.666666667b}

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