7b^2-6b-4=-3

Solution for 7b^2-6b-4=-3 equation:

Simplifying
7b2 + -6b + -4 = -3

Reorder the terms:
-4 + -6b + 7b2 = -3

Solving
-4 + -6b + 7b2 = -3

Solving for variable 'b'.

Reorder the terms:
-4 + 3 + -6b + 7b2 = -3 + 3

Combine like terms: -4 + 3 = -1
-1 + -6b + 7b2 = -3 + 3

Combine like terms: -3 + 3 = 0
-1 + -6b + 7b2 = 0

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

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

Simplifying
-1 + -7b = 0

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

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

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

Divide each side by '-7'.
b = -0.1428571429

Simplifying
b = -0.1428571429
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

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

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

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

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

Simplifying
b = 1
Solution
b = {-0.1428571429, 1}