5[4a-2a(3a+5b)+6a]=

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Solution for 5[4a-2a(3a+5b)+6a]= equation: 


Simplifying
5[4a + -2a(3a + 5b) + 6a] = 0
5[4a + (3a * -2a + 5b * -2a) + 6a] = 0

Reorder the terms:
5[4a + (-10ab + -6a2) + 6a] = 0
5[4a + (-10ab + -6a2) + 6a] = 0

Reorder the terms:
5[4a + 6a + -10ab + -6a2] = 0

Combine like terms: 4a + 6a = 10a
5[10a + -10ab + -6a2] = 0
[10a * 5 + -10ab * 5 + -6a2 * 5] = 0
[50a + -50ab + -30a2] = 0

Solving
50a + -50ab + -30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a'.
10a(5 + -5b + -3a) = 0

Ignore the factor 10.

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

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

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

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

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

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

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

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

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

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

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

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

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

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