-2b=5b^2-3

Solution for -2b=5b^2-3 equation:

Simplifying
-2b = 5b2 + -3

Reorder the terms:
-2b = -3 + 5b2

Solving
-2b = -3 + 5b2

Solving for variable 'b'.

Reorder the terms:
3 + -2b + -5b2 = -3 + 5b2 + 3 + -5b2

Reorder the terms:
3 + -2b + -5b2 = -3 + 3 + 5b2 + -5b2

Combine like terms: -3 + 3 = 0
3 + -2b + -5b2 = 0 + 5b2 + -5b2
3 + -2b + -5b2 = 5b2 + -5b2

Combine like terms: 5b2 + -5b2 = 0
3 + -2b + -5b2 = 0

Factor a trinomial.
(3 + -5b)(1 + b) = 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 '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

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

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

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

Simplifying
b = -1
Solution
b = {0.6, -1}