7b^2-55b=-42

Solution for 7b^2-55b=-42 equation:

Simplifying
7b2 + -55b = -42

Reorder the terms:
-55b + 7b2 = -42

Solving
-55b + 7b2 = -42

Solving for variable 'b'.

Reorder the terms:
42 + -55b + 7b2 = -42 + 42

Combine like terms: -42 + 42 = 0
42 + -55b + 7b2 = 0

Factor a trinomial.
(6 + -7b)(7 + -1b) = 0

Subproblem 1
Set the factor '(6 + -7b)' equal to zero and attempt to solve:

Simplifying
6 + -7b = 0

Solving
6 + -7b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7b = 0 + -6
-7b = 0 + -6

Combine like terms: 0 + -6 = -6
-7b = -6

Divide each side by '-7'.
b = 0.8571428571

Simplifying
b = 0.8571428571
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 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 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {0.8571428571, 7}