(6b+4)*(6b+4)=

Solution for (6b+4)*(6b+4)= equation:

Simplifying
(6b + 4)(6b + 4) = 0

Reorder the terms:
(4 + 6b)(6b + 4) = 0

Reorder the terms:
(4 + 6b)(4 + 6b) = 0

Multiply (4 + 6b) * (4 + 6b)
(4(4 + 6b) + 6b * (4 + 6b)) = 0
((4 * 4 + 6b * 4) + 6b * (4 + 6b)) = 0
((16 + 24b) + 6b * (4 + 6b)) = 0
(16 + 24b + (4 * 6b + 6b * 6b)) = 0
(16 + 24b + (24b + 36b2)) = 0

Combine like terms: 24b + 24b = 48b
(16 + 48b + 36b2) = 0

Solving
16 + 48b + 36b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 12b + 9b2) = 0

Factor a trinomial.
4((2 + 3b)(2 + 3b)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3b = 0 + -2
3b = 0 + -2

Combine like terms: 0 + -2 = -2
3b = -2

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3b = 0 + -2
3b = 0 + -2

Combine like terms: 0 + -2 = -2
3b = -2

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Solution
b = {-0.6666666667, -0.6666666667}