10b(3+b)=30b+1000

Solution for 10b(3+b)=30b+1000 equation:

Simplifying
10b(3 + b) = 30b + 1000
(3 * 10b + b * 10b) = 30b + 1000
(30b + 10b2) = 30b + 1000

Reorder the terms:
30b + 10b2 = 1000 + 30b

Add '-30b' to each side of the equation.
30b + -30b + 10b2 = 1000 + 30b + -30b

Combine like terms: 30b + -30b = 0
0 + 10b2 = 1000 + 30b + -30b
10b2 = 1000 + 30b + -30b

Combine like terms: 30b + -30b = 0
10b2 = 1000 + 0
10b2 = 1000

Solving
10b2 = 1000

Solving for variable 'b'.

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

Divide each side by '10'.
b2 = 100

Simplifying
b2 = 100

Take the square root of each side:
b = {-10, 10}