5b^2=26b+24

Solution for 5b^2=26b+24 equation:

Simplifying
5b2 = 26b + 24

Reorder the terms:
5b2 = 24 + 26b

Solving
5b2 = 24 + 26b

Solving for variable 'b'.

Reorder the terms:
-24 + -26b + 5b2 = 24 + 26b + -24 + -26b

Reorder the terms:
-24 + -26b + 5b2 = 24 + -24 + 26b + -26b

Combine like terms: 24 + -24 = 0
-24 + -26b + 5b2 = 0 + 26b + -26b
-24 + -26b + 5b2 = 26b + -26b

Combine like terms: 26b + -26b = 0
-24 + -26b + 5b2 = 0

Factor a trinomial.
(-4 + -5b)(6 + -1b) = 0

Subproblem 1
Set the factor '(-4 + -5b)' equal to zero and attempt to solve:

Simplifying
-4 + -5b = 0

Solving
-4 + -5b = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5b = 0 + 4
-5b = 0 + 4

Combine like terms: 0 + 4 = 4
-5b = 4

Divide each side by '-5'.
b = -0.8

Simplifying
b = -0.8
Subproblem 2
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
Solution
b = {-0.8, 6}