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

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


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

Reorder the terms:
2[5a + (-6ab + -6a2) + 6a] = 0
2[5a + (-6ab + -6a2) + 6a] = 0

Reorder the terms:
2[5a + 6a + -6ab + -6a2] = 0

Combine like terms: 5a + 6a = 11a
2[11a + -6ab + -6a2] = 0
[11a * 2 + -6ab * 2 + -6a2 * 2] = 0
[22a + -12ab + -12a2] = 0

Solving
22a + -12ab + -12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(11 + -6b + -6a) = 0

Ignore the factor 2.

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 '(11 + -6b + -6a)' equal to zero and attempt to solve:

Simplifying
11 + -6b + -6a = 0

Reorder the terms:
11 + -6a + -6b = 0

Solving
11 + -6a + -6b = 0

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

Add '-11' to each side of the equation.
11 + -6a + -11 + -6b = 0 + -11

Reorder the terms:
11 + -11 + -6a + -6b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6a + -6b = 0 + -11
-6a + -6b = 0 + -11

Combine like terms: 0 + -11 = -11
-6a + -6b = -11

Add '6b' to each side of the equation.
-6a + -6b + 6b = -11 + 6b

Combine like terms: -6b + 6b = 0
-6a + 0 = -11 + 6b
-6a = -11 + 6b

Divide each side by '-6'.
a = 1.833333333 + -1b

Simplifying
a = 1.833333333 + -1b
Solution
a = {0, 1.833333333 + -1b}

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