3b^2-16b-64=0

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Solution for 3b^2-16b-64=0 equation: 


Simplifying
3b2 + -16b + -64 = 0

Reorder the terms:
-64 + -16b + 3b2 = 0

Solving
-64 + -16b + 3b2 = 0

Solving for variable 'b'.

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


Subproblem 1
Set the factor '(-8 + -3b)' equal to zero and attempt to solve:

Simplifying
-8 + -3b = 0

Solving
-8 + -3b = 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 + -3b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3b = 0 + 8
-3b = 0 + 8

Combine like terms: 0 + 8 = 8
-3b = 8

Divide each side by '-3'.
b = -2.666666667

Simplifying
b = -2.666666667

Subproblem 2
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
Solution
b = {-2.666666667, 8}

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