56b^2+70=6-120b

Solution for 56b^2+70=6-120b equation:

Simplifying
56b2 + 70 = 6 + -120b

Reorder the terms:
70 + 56b2 = 6 + -120b

Solving
70 + 56b2 = 6 + -120b

Solving for variable 'b'.

Reorder the terms:
70 + -6 + 120b + 56b2 = 6 + -120b + -6 + 120b

Combine like terms: 70 + -6 = 64
64 + 120b + 56b2 = 6 + -120b + -6 + 120b

Reorder the terms:
64 + 120b + 56b2 = 6 + -6 + -120b + 120b

Combine like terms: 6 + -6 = 0
64 + 120b + 56b2 = 0 + -120b + 120b
64 + 120b + 56b2 = -120b + 120b

Combine like terms: -120b + 120b = 0
64 + 120b + 56b2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(8 + 15b + 7b2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(8 + 7b)' equal to zero and attempt to solve:

Simplifying
8 + 7b = 0

Solving
8 + 7b = 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 + 7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7b = 0 + -8
7b = 0 + -8

Combine like terms: 0 + -8 = -8
7b = -8

Divide each side by '7'.
b = -1.142857143

Simplifying
b = -1.142857143
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

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

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

Simplifying
b = -1
Solution
b = {-1.142857143, -1}