15b^2+56b+49=0

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Solution for 15b^2+56b+49=0 equation: 


Simplifying
15b2 + 56b + 49 = 0

Reorder the terms:
49 + 56b + 15b2 = 0

Solving
49 + 56b + 15b2 = 0

Solving for variable 'b'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + 5b)' equal to zero and attempt to solve:

Simplifying
7 + 5b = 0

Solving
7 + 5b = 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 + 5b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5b = 0 + -7
5b = 0 + -7

Combine like terms: 0 + -7 = -7
5b = -7

Divide each side by '5'.
b = -1.4

Simplifying
b = -1.4
Solution
b = {-2.333333333, -1.4}

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