5[6a-4a(2a+3b)+8a]=

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Solution for 5[6a-4a(2a+3b)+8a]= equation: 


Simplifying
5[6a + -4a(2a + 3b) + 8a] = 0
5[6a + (2a * -4a + 3b * -4a) + 8a] = 0

Reorder the terms:
5[6a + (-12ab + -8a2) + 8a] = 0
5[6a + (-12ab + -8a2) + 8a] = 0

Reorder the terms:
5[6a + 8a + -12ab + -8a2] = 0

Combine like terms: 6a + 8a = 14a
5[14a + -12ab + -8a2] = 0
[14a * 5 + -12ab * 5 + -8a2 * 5] = 0
[70a + -60ab + -40a2] = 0

Solving
70a + -60ab + -40a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a'.
10a(7 + -6b + -4a) = 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 '(7 + -6b + -4a)' equal to zero and attempt to solve:

Simplifying
7 + -6b + -4a = 0

Reorder the terms:
7 + -4a + -6b = 0

Solving
7 + -4a + -6b = 0

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

Add '-7' to each side of the equation.
7 + -4a + -7 + -6b = 0 + -7

Reorder the terms:
7 + -7 + -4a + -6b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4a + -6b = 0 + -7
-4a + -6b = 0 + -7

Combine like terms: 0 + -7 = -7
-4a + -6b = -7

Add '6b' to each side of the equation.
-4a + -6b + 6b = -7 + 6b

Combine like terms: -6b + 6b = 0
-4a + 0 = -7 + 6b
-4a = -7 + 6b

Divide each side by '-4'.
a = 1.75 + -1.5b

Simplifying
a = 1.75 + -1.5b
Solution
a = {0, 1.75 + -1.5b}

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