4b^2+23b+28=0

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Solution for 4b^2+23b+28=0 equation: 


Simplifying
4b2 + 23b + 28 = 0

Reorder the terms:
28 + 23b + 4b2 = 0

Solving
28 + 23b + 4b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + b)(7 + 4b) = 0


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

Simplifying
4 + b = 0

Solving
4 + b = 0

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

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

Combine like terms: 4 + -4 = 0
0 + b = 0 + -4
b = 0 + -4

Combine like terms: 0 + -4 = -4
b = -4

Simplifying
b = -4

Subproblem 2
Set the factor '(7 + 4b)' equal to zero and attempt to solve:

Simplifying
7 + 4b = 0

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

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

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

Divide each side by '4'.
b = -1.75

Simplifying
b = -1.75
Solution
b = {-4, -1.75}

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