6b^2+29b-42=0

Solution for 6b^2+29b-42=0 equation:

Simplifying
6b2 + 29b + -42 = 0

Reorder the terms:
-42 + 29b + 6b2 = 0

Solving
-42 + 29b + 6b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 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 + -1b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 0 + 6
-1b = 0 + 6

Combine like terms: 0 + 6 = 6
-1b = 6

Divide each side by '-1'.
b = -6

Simplifying
b = -6
Subproblem 2
Set the factor '(7 + -6b)' equal to zero and attempt to solve:

Simplifying
7 + -6b = 0

Solving
7 + -6b = 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 + -6b = 0 + -7

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

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

Divide each side by '-6'.
b = 1.166666667

Simplifying
b = 1.166666667
Solution
b = {-6, 1.166666667}