10b^2-66b-112=

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Solution for 10b^2-66b-112= equation: 


Simplifying
10b2 + -66b + -112 = 0

Reorder the terms:
-112 + -66b + 10b2 = 0

Solving
-112 + -66b + 10b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-56 + -33b + 5b2) = 0

Factor a trinomial.
2((-7 + -5b)(8 + -1b)) = 0

Ignore the factor 2.

Subproblem 1
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

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 = {-1.4, 8}

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