3b^2+17b-56=0

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Solution for 3b^2+17b-56=0 equation: 


Simplifying
3b2 + 17b + -56 = 0

Reorder the terms:
-56 + 17b + 3b2 = 0

Solving
-56 + 17b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-8 + -1b)(7 + -3b) = 0


Subproblem 1
Set the factor '(-8 + -1b)' equal to zero and attempt to solve:

Simplifying
-8 + -1b = 0

Solving
-8 + -1b = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1b = 0 + 8
-1b = 0 + 8

Combine like terms: 0 + 8 = 8
-1b = 8

Divide each side by '-1'.
b = -8

Simplifying
b = -8

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 = {-8, 2.333333333}

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