2b(3b+4)+6b(2b+1)=

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Solution for 2b(3b+4)+6b(2b+1)= equation: 


Simplifying
2b(3b + 4) + 6b(2b + 1) = 0

Reorder the terms:
2b(4 + 3b) + 6b(2b + 1) = 0
(4 * 2b + 3b * 2b) + 6b(2b + 1) = 0
(8b + 6b2) + 6b(2b + 1) = 0

Reorder the terms:
8b + 6b2 + 6b(1 + 2b) = 0
8b + 6b2 + (1 * 6b + 2b * 6b) = 0
8b + 6b2 + (6b + 12b2) = 0

Reorder the terms:
8b + 6b + 6b2 + 12b2 = 0

Combine like terms: 8b + 6b = 14b
14b + 6b2 + 12b2 = 0

Combine like terms: 6b2 + 12b2 = 18b2
14b + 18b2 = 0

Solving
14b + 18b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(7 + 9b) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(7 + 9b)' equal to zero and attempt to solve:

Simplifying
7 + 9b = 0

Solving
7 + 9b = 0

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

Add '-7' to each side of the equation.
7 + -7 + 9b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9b = 0 + -7
9b = 0 + -7

Combine like terms: 0 + -7 = -7
9b = -7

Divide each side by '9'.
b = -0.7777777778

Simplifying
b = -0.7777777778
Solution
b = {0, -0.7777777778}

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