(2b+5)(3b+7)=

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Solution for (2b+5)(3b+7)= equation: 


Simplifying
(2b + 5)(3b + 7) = 0

Reorder the terms:
(5 + 2b)(3b + 7) = 0

Reorder the terms:
(5 + 2b)(7 + 3b) = 0

Multiply (5 + 2b) * (7 + 3b)
(5(7 + 3b) + 2b * (7 + 3b)) = 0
((7 * 5 + 3b * 5) + 2b * (7 + 3b)) = 0
((35 + 15b) + 2b * (7 + 3b)) = 0
(35 + 15b + (7 * 2b + 3b * 2b)) = 0
(35 + 15b + (14b + 6b2)) = 0

Combine like terms: 15b + 14b = 29b
(35 + 29b + 6b2) = 0

Solving
35 + 29b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + 2b)(7 + 3b) = 0


Subproblem 1
Set the factor '(5 + 2b)' equal to zero and attempt to solve:

Simplifying
5 + 2b = 0

Solving
5 + 2b = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2b = 0 + -5
2b = 0 + -5

Combine like terms: 0 + -5 = -5
2b = -5

Divide each side by '2'.
b = -2.5

Simplifying
b = -2.5

Subproblem 2
Set the factor '(7 + 3b)' equal to zero and attempt to solve:

Simplifying
7 + 3b = 0

Solving
7 + 3b = 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 + 3b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3b = 0 + -7
3b = 0 + -7

Combine like terms: 0 + -7 = -7
3b = -7

Divide each side by '3'.
b = -2.333333333

Simplifying
b = -2.333333333
Solution
b = {-2.5, -2.333333333}

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