6b^2-13b+4=-3

Solution for 6b^2-13b+4=-3 equation:

Simplifying
6b2 + -13b + 4 = -3

Reorder the terms:
4 + -13b + 6b2 = -3

Solving
4 + -13b + 6b2 = -3

Solving for variable 'b'.

Reorder the terms:
4 + 3 + -13b + 6b2 = -3 + 3

Combine like terms: 4 + 3 = 7
7 + -13b + 6b2 = -3 + 3

Combine like terms: -3 + 3 = 0
7 + -13b + 6b2 = 0

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

Subproblem 1
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
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 = {1, 1.166666667}