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

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

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

Reorder the terms:
(1 + 2b)(-6b + 3) = 0

Reorder the terms:
(1 + 2b)(3 + -6b) = 0

Multiply (1 + 2b) * (3 + -6b)
(1(3 + -6b) + 2b * (3 + -6b)) = 0
((3 * 1 + -6b * 1) + 2b * (3 + -6b)) = 0
((3 + -6b) + 2b * (3 + -6b)) = 0
(3 + -6b + (3 * 2b + -6b * 2b)) = 0
(3 + -6b + (6b + -12b2)) = 0

Combine like terms: -6b + 6b = 0
(3 + 0 + -12b2) = 0
(3 + -12b2) = 0

Solving
3 + -12b2 = 0

Solving for variable 'b'.

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

Add '-3' to each side of the equation.
3 + -3 + -12b2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -12b2 = 0 + -3
-12b2 = 0 + -3

Combine like terms: 0 + -3 = -3
-12b2 = -3

Divide each side by '-12'.
b2 = 0.25

Simplifying
b2 = 0.25

Take the square root of each side:
b = {-0.5, 0.5}