2b^2+3b+4=6

Solution for 2b^2+3b+4=6 equation:

Simplifying
2b2 + 3b + 4 = 6

Reorder the terms:
4 + 3b + 2b2 = 6

Solving
4 + 3b + 2b2 = 6

Solving for variable 'b'.

Reorder the terms:
4 + -6 + 3b + 2b2 = 6 + -6

Combine like terms: 4 + -6 = -2
-2 + 3b + 2b2 = 6 + -6

Combine like terms: 6 + -6 = 0
-2 + 3b + 2b2 = 0

Factor a trinomial.
(-2 + -1b)(1 + -2b) = 0

Subproblem 1
Set the factor '(-2 + -1b)' equal to zero and attempt to solve:

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 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 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
Set the factor '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {-2, 0.5}