5b^2-12=17b

Solution for 5b^2-12=17b equation:

Simplifying
5b2 + -12 = 17b

Reorder the terms:
-12 + 5b2 = 17b

Solving
-12 + 5b2 = 17b

Solving for variable 'b'.

Reorder the terms:
-12 + -17b + 5b2 = 17b + -17b

Combine like terms: 17b + -17b = 0
-12 + -17b + 5b2 = 0

Factor a trinomial.
(-3 + -5b)(4 + -1b) = 0

Subproblem 1
Set the factor '(-3 + -5b)' equal to zero and attempt to solve:

Simplifying
-3 + -5b = 0

Solving
-3 + -5b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5b = 0 + 3
-5b = 0 + 3

Combine like terms: 0 + 3 = 3
-5b = 3

Divide each side by '-5'.
b = -0.6

Simplifying
b = -0.6
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-0.6, 4}